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Finding the Fourth Proportional to 642.79, 886.71 and 446.77

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Solution

The fourth proportional to 642.79, 886.71 and 446.77 is: 616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.79 : 886.71 = 446.77 : x
  2. Step 2: Convert to fraction form
    642.79/886.71 = 446.77/x
  3. Step 3: Cross multiply
    642.79x = 886.71 × 446.77
  4. Step 4: Simplify right side
    642.79x = 396,155.43
  5. Step 5: Solve for x
    x = 396,155.43/642.79
  6. Step 6: Final answer
    x = 616.31

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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.