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Finding the Fourth Proportional to 477.70, 717.09 and 315.70

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Solution

The fourth proportional to 477.70, 717.09 and 315.70 is: 473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.70 : 717.09 = 315.70 : x
  2. Step 2: Convert to fraction form
    477.70/717.09 = 315.70/x
  3. Step 3: Cross multiply
    477.70x = 717.09 × 315.70
  4. Step 4: Simplify right side
    477.70x = 226,385.31
  5. Step 5: Solve for x
    x = 226,385.31/477.70
  6. Step 6: Final answer
    x = 473.91

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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.