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Finding the Fourth Proportional to 742.84, 1,113.40 and 331.52

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Solution

The fourth proportional to 742.84, 1,113.40 and 331.52 is: 496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.84 : 1,113.40 = 331.52 : x
  2. Step 2: Convert to fraction form
    742.84/1,113.40 = 331.52/x
  3. Step 3: Cross multiply
    742.84x = 1,113.40 × 331.52
  4. Step 4: Simplify right side
    742.84x = 369,114.37
  5. Step 5: Solve for x
    x = 369,114.37/742.84
  6. Step 6: Final answer
    x = 496.90

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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.