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Finding the Fourth Proportional to 641.12, 884.26 and 537.16

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Solution

The fourth proportional to 641.12, 884.26 and 537.16 is: 740.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.12 : 884.26 = 537.16 : x
  2. Step 2: Convert to fraction form
    641.12/884.26 = 537.16/x
  3. Step 3: Cross multiply
    641.12x = 884.26 × 537.16
  4. Step 4: Simplify right side
    641.12x = 474,989.10
  5. Step 5: Solve for x
    x = 474,989.10/641.12
  6. Step 6: Final answer
    x = 740.87

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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.