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Finding the Fourth Proportional to 631.80, 872.28 and 500.40

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Solution

The fourth proportional to 631.80, 872.28 and 500.40 is: 690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.80 : 872.28 = 500.40 : x
  2. Step 2: Convert to fraction form
    631.80/872.28 = 500.40/x
  3. Step 3: Cross multiply
    631.80x = 872.28 × 500.40
  4. Step 4: Simplify right side
    631.80x = 436,488.91
  5. Step 5: Solve for x
    x = 436,488.91/631.80
  6. Step 6: Final answer
    x = 690.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.