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Finding the Fourth Proportional to 642.47, 886.46 and 433.04

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Solution

The fourth proportional to 642.47, 886.46 and 433.04 is: 597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.47 : 886.46 = 433.04 : x
  2. Step 2: Convert to fraction form
    642.47/886.46 = 433.04/x
  3. Step 3: Cross multiply
    642.47x = 886.46 × 433.04
  4. Step 4: Simplify right side
    642.47x = 383,866.04
  5. Step 5: Solve for x
    x = 383,866.04/642.47
  6. Step 6: Final answer
    x = 597.49

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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.