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Finding the Fourth Proportional to 640.68, 961.49 and 476.52

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Solution

The fourth proportional to 640.68, 961.49 and 476.52 is: 715.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.68 : 961.49 = 476.52 : x
  2. Step 2: Convert to fraction form
    640.68/961.49 = 476.52/x
  3. Step 3: Cross multiply
    640.68x = 961.49 × 476.52
  4. Step 4: Simplify right side
    640.68x = 458,169.21
  5. Step 5: Solve for x
    x = 458,169.21/640.68
  6. Step 6: Final answer
    x = 715.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.