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Finding the Fourth Proportional to 816.31, 1,224.56 and 296.55

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Solution

The fourth proportional to 816.31, 1,224.56 and 296.55 is: 444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.31 : 1,224.56 = 296.55 : x
  2. Step 2: Convert to fraction form
    816.31/1,224.56 = 296.55/x
  3. Step 3: Cross multiply
    816.31x = 1,224.56 × 296.55
  4. Step 4: Simplify right side
    816.31x = 363,148.89
  5. Step 5: Solve for x
    x = 363,148.89/816.31
  6. Step 6: Final answer
    x = 444.87

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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.