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Finding the Fourth Proportional to 641.52, 884.98 and 420.54

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Solution

The fourth proportional to 641.52, 884.98 and 420.54 is: 580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.52 : 884.98 = 420.54 : x
  2. Step 2: Convert to fraction form
    641.52/884.98 = 420.54/x
  3. Step 3: Cross multiply
    641.52x = 884.98 × 420.54
  4. Step 4: Simplify right side
    641.52x = 372,169.31
  5. Step 5: Solve for x
    x = 372,169.31/641.52
  6. Step 6: Final answer
    x = 580.14

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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.