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Finding the Fourth Proportional to 477.69, 715.92 and 416.53

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Solution

The fourth proportional to 477.69, 715.92 and 416.53 is: 624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.69 : 715.92 = 416.53 : x
  2. Step 2: Convert to fraction form
    477.69/715.92 = 416.53/x
  3. Step 3: Cross multiply
    477.69x = 715.92 × 416.53
  4. Step 4: Simplify right side
    477.69x = 298,202.16
  5. Step 5: Solve for x
    x = 298,202.16/477.69
  6. Step 6: Final answer
    x = 624.26

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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.