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Finding the Fourth Proportional to 427.52, 642.72 and 332.48

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Solution

The fourth proportional to 427.52, 642.72 and 332.48 is: 499.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.52 : 642.72 = 332.48 : x
  2. Step 2: Convert to fraction form
    427.52/642.72 = 332.48/x
  3. Step 3: Cross multiply
    427.52x = 642.72 × 332.48
  4. Step 4: Simplify right side
    427.52x = 213,691.55
  5. Step 5: Solve for x
    x = 213,691.55/427.52
  6. Step 6: Final answer
    x = 499.84

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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.