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Finding the Fourth Proportional to 708.71, 1,063.08 and 318.29

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Solution

The fourth proportional to 708.71, 1,063.08 and 318.29 is: 477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.71 : 1,063.08 = 318.29 : x
  2. Step 2: Convert to fraction form
    708.71/1,063.08 = 318.29/x
  3. Step 3: Cross multiply
    708.71x = 1,063.08 × 318.29
  4. Step 4: Simplify right side
    708.71x = 338,362.42
  5. Step 5: Solve for x
    x = 338,362.42/708.71
  6. Step 6: Final answer
    x = 477.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.