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Finding the Fourth Proportional to 705.84, 974.18 and 411.06

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Solution

The fourth proportional to 705.84, 974.18 and 411.06 is: 567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.84 : 974.18 = 411.06 : x
  2. Step 2: Convert to fraction form
    705.84/974.18 = 411.06/x
  3. Step 3: Cross multiply
    705.84x = 974.18 × 411.06
  4. Step 4: Simplify right side
    705.84x = 400,444.38
  5. Step 5: Solve for x
    x = 400,444.38/705.84
  6. Step 6: Final answer
    x = 567.33

Related Problems

Find fourth proportional to 352.92, 487.09 and 205.53
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.