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Finding the Fourth Proportional to 642.11, 886.14 and 362.25

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Solution

The fourth proportional to 642.11, 886.14 and 362.25 is: 499.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.11 : 886.14 = 362.25 : x
  2. Step 2: Convert to fraction form
    642.11/886.14 = 362.25/x
  3. Step 3: Cross multiply
    642.11x = 886.14 × 362.25
  4. Step 4: Simplify right side
    642.11x = 321,004.22
  5. Step 5: Solve for x
    x = 321,004.22/642.11
  6. Step 6: Final answer
    x = 499.92

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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.