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Finding the Fourth Proportional to 631.56, 872.52 and 538.20

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Solution

The fourth proportional to 631.56, 872.52 and 538.20 is: 743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.56 : 872.52 = 538.20 : x
  2. Step 2: Convert to fraction form
    631.56/872.52 = 538.20/x
  3. Step 3: Cross multiply
    631.56x = 872.52 × 538.20
  4. Step 4: Simplify right side
    631.56x = 469,590.26
  5. Step 5: Solve for x
    x = 469,590.26/631.56
  6. Step 6: Final answer
    x = 743.54

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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.