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Finding the Fourth Proportional to 477.72, 715.63 and 314.91

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Solution

The fourth proportional to 477.72, 715.63 and 314.91 is: 471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.72 : 715.63 = 314.91 : x
  2. Step 2: Convert to fraction form
    477.72/715.63 = 314.91/x
  3. Step 3: Cross multiply
    477.72x = 715.63 × 314.91
  4. Step 4: Simplify right side
    477.72x = 225,357.47
  5. Step 5: Solve for x
    x = 225,357.47/477.72
  6. Step 6: Final answer
    x = 471.74

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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.