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Finding the Fourth Proportional to 642.72, 886.48 and 446.28

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Solution

The fourth proportional to 642.72, 886.48 and 446.28 is: 615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.72 : 886.48 = 446.28 : x
  2. Step 2: Convert to fraction form
    642.72/886.48 = 446.28/x
  3. Step 3: Cross multiply
    642.72x = 886.48 × 446.28
  4. Step 4: Simplify right side
    642.72x = 395,618.29
  5. Step 5: Solve for x
    x = 395,618.29/642.72
  6. Step 6: Final answer
    x = 615.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.