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Finding the Fourth Proportional to 638.50, 881.17 and 362.50

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Solution

The fourth proportional to 638.50, 881.17 and 362.50 is: 500.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.50 : 881.17 = 362.50 : x
  2. Step 2: Convert to fraction form
    638.50/881.17 = 362.50/x
  3. Step 3: Cross multiply
    638.50x = 881.17 × 362.50
  4. Step 4: Simplify right side
    638.50x = 319,424.13
  5. Step 5: Solve for x
    x = 319,424.13/638.50
  6. Step 6: Final answer
    x = 500.27

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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.