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Finding the Fourth Proportional to 485.92, 671.52 and 431.92

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Solution

The fourth proportional to 485.92, 671.52 and 431.92 is: 596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.92 : 671.52 = 431.92 : x
  2. Step 2: Convert to fraction form
    485.92/671.52 = 431.92/x
  3. Step 3: Cross multiply
    485.92x = 671.52 × 431.92
  4. Step 4: Simplify right side
    485.92x = 290,042.92
  5. Step 5: Solve for x
    x = 290,042.92/485.92
  6. Step 6: Final answer
    x = 596.89

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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.