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Finding the Fourth Proportional to 642.60, 886.14 and 455.76

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Solution

The fourth proportional to 642.60, 886.14 and 455.76 is: 628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.60 : 886.14 = 455.76 : x
  2. Step 2: Convert to fraction form
    642.60/886.14 = 455.76/x
  3. Step 3: Cross multiply
    642.60x = 886.14 × 455.76
  4. Step 4: Simplify right side
    642.60x = 403,867.17
  5. Step 5: Solve for x
    x = 403,867.17/642.60
  6. Step 6: Final answer
    x = 628.49

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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.