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Finding the Fourth Proportional to 744.68, 1,116.89 and 282.31

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Solution

The fourth proportional to 744.68, 1,116.89 and 282.31 is: 423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.68 : 1,116.89 = 282.31 : x
  2. Step 2: Convert to fraction form
    744.68/1,116.89 = 282.31/x
  3. Step 3: Cross multiply
    744.68x = 1,116.89 × 282.31
  4. Step 4: Simplify right side
    744.68x = 315,302.92
  5. Step 5: Solve for x
    x = 315,302.92/744.68
  6. Step 6: Final answer
    x = 423.41

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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.