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Finding the Fourth Proportional to 642.14, 886.02 and 393.52

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Solution

The fourth proportional to 642.14, 886.02 and 393.52 is: 542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.14 : 886.02 = 393.52 : x
  2. Step 2: Convert to fraction form
    642.14/886.02 = 393.52/x
  3. Step 3: Cross multiply
    642.14x = 886.02 × 393.52
  4. Step 4: Simplify right side
    642.14x = 348,666.59
  5. Step 5: Solve for x
    x = 348,666.59/642.14
  6. Step 6: Final answer
    x = 542.98

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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.