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Finding the Fourth Proportional to 705.69, 973.88 and 411.05

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Solution

The fourth proportional to 705.69, 973.88 and 411.05 is: 567.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.69 : 973.88 = 411.05 : x
  2. Step 2: Convert to fraction form
    705.69/973.88 = 411.05/x
  3. Step 3: Cross multiply
    705.69x = 973.88 × 411.05
  4. Step 4: Simplify right side
    705.69x = 400,306.45
  5. Step 5: Solve for x
    x = 400,306.45/705.69
  6. Step 6: Final answer
    x = 567.26

Related Problems

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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.