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Finding the Fourth Proportional to 477.69, 717.75 and 432.73

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Solution

The fourth proportional to 477.69, 717.75 and 432.73 is: 650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.69 : 717.75 = 432.73 : x
  2. Step 2: Convert to fraction form
    477.69/717.75 = 432.73/x
  3. Step 3: Cross multiply
    477.69x = 717.75 × 432.73
  4. Step 4: Simplify right side
    477.69x = 310,591.96
  5. Step 5: Solve for x
    x = 310,591.96/477.69
  6. Step 6: Final answer
    x = 650.20

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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.