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Finding the Fourth Proportional to 966.57, 1,449.69 and 317.31

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Solution

The fourth proportional to 966.57, 1,449.69 and 317.31 is: 475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.57 : 1,449.69 = 317.31 : x
  2. Step 2: Convert to fraction form
    966.57/1,449.69 = 317.31/x
  3. Step 3: Cross multiply
    966.57x = 1,449.69 × 317.31
  4. Step 4: Simplify right side
    966.57x = 460,001.13
  5. Step 5: Solve for x
    x = 460,001.13/966.57
  6. Step 6: Final answer
    x = 475.91

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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.