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Finding the Fourth Proportional to 688.33, 1,032.12 and 363.61

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Solution

The fourth proportional to 688.33, 1,032.12 and 363.61 is: 545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.33 : 1,032.12 = 363.61 : x
  2. Step 2: Convert to fraction form
    688.33/1,032.12 = 363.61/x
  3. Step 3: Cross multiply
    688.33x = 1,032.12 × 363.61
  4. Step 4: Simplify right side
    688.33x = 375,289.15
  5. Step 5: Solve for x
    x = 375,289.15/688.33
  6. Step 6: Final answer
    x = 545.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.