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Finding the Fourth Proportional to 462.92, 635.22 and 421.16

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Solution

The fourth proportional to 462.92, 635.22 and 421.16 is: 577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.92 : 635.22 = 421.16 : x
  2. Step 2: Convert to fraction form
    462.92/635.22 = 421.16/x
  3. Step 3: Cross multiply
    462.92x = 635.22 × 421.16
  4. Step 4: Simplify right side
    462.92x = 267,526.08
  5. Step 5: Solve for x
    x = 267,526.08/462.92
  6. Step 6: Final answer
    x = 577.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.