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Finding the Fourth Proportional to 642.88, 886.30 and 432.68

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Solution

The fourth proportional to 642.88, 886.30 and 432.68 is: 596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.88 : 886.30 = 432.68 : x
  2. Step 2: Convert to fraction form
    642.88/886.30 = 432.68/x
  3. Step 3: Cross multiply
    642.88x = 886.30 × 432.68
  4. Step 4: Simplify right side
    642.88x = 383,484.28
  5. Step 5: Solve for x
    x = 383,484.28/642.88
  6. Step 6: Final answer
    x = 596.51

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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.