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Finding the Fourth Proportional to 537.71, 807.17 and 318.80

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Solution

The fourth proportional to 537.71, 807.17 and 318.80 is: 478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.71 : 807.17 = 318.80 : x
  2. Step 2: Convert to fraction form
    537.71/807.17 = 318.80/x
  3. Step 3: Cross multiply
    537.71x = 807.17 × 318.80
  4. Step 4: Simplify right side
    537.71x = 257,326.22
  5. Step 5: Solve for x
    x = 257,326.22/537.71
  6. Step 6: Final answer
    x = 478.56

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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.