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Finding the Fourth Proportional to 742.48, 1,113.70 and 309.62

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Solution

The fourth proportional to 742.48, 1,113.70 and 309.62 is: 464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.48 : 1,113.70 = 309.62 : x
  2. Step 2: Convert to fraction form
    742.48/1,113.70 = 309.62/x
  3. Step 3: Cross multiply
    742.48x = 1,113.70 × 309.62
  4. Step 4: Simplify right side
    742.48x = 344,823.79
  5. Step 5: Solve for x
    x = 344,823.79/742.48
  6. Step 6: Final answer
    x = 464.42

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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.