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Finding the Fourth Proportional to 705.84, 974.01 and 411.14

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Solution

The fourth proportional to 705.84, 974.01 and 411.14 is: 567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.84 : 974.01 = 411.14 : x
  2. Step 2: Convert to fraction form
    705.84/974.01 = 411.14/x
  3. Step 3: Cross multiply
    705.84x = 974.01 × 411.14
  4. Step 4: Simplify right side
    705.84x = 400,447.55
  5. Step 5: Solve for x
    x = 400,447.55/705.84
  6. Step 6: Final answer
    x = 567.33

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Double scale
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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.