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Finding the Fourth Proportional to 641.08, 962.58 and 381.52

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Solution

The fourth proportional to 641.08, 962.58 and 381.52 is: 572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.08 : 962.58 = 381.52 : x
  2. Step 2: Convert to fraction form
    641.08/962.58 = 381.52/x
  3. Step 3: Cross multiply
    641.08x = 962.58 × 381.52
  4. Step 4: Simplify right side
    641.08x = 367,243.52
  5. Step 5: Solve for x
    x = 367,243.52/641.08
  6. Step 6: Final answer
    x = 572.85

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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.