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Finding the Fourth Proportional to 642.50, 886.62 and 362.70

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Solution

The fourth proportional to 642.50, 886.62 and 362.70 is: 500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.50 : 886.62 = 362.70 : x
  2. Step 2: Convert to fraction form
    642.50/886.62 = 362.70/x
  3. Step 3: Cross multiply
    642.50x = 886.62 × 362.70
  4. Step 4: Simplify right side
    642.50x = 321,577.07
  5. Step 5: Solve for x
    x = 321,577.07/642.50
  6. Step 6: Final answer
    x = 500.51

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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.