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Finding the Fourth Proportional to 744.24, 1,116.34 and 257.28

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Solution

The fourth proportional to 744.24, 1,116.34 and 257.28 is: 385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.24 : 1,116.34 = 257.28 : x
  2. Step 2: Convert to fraction form
    744.24/1,116.34 = 257.28/x
  3. Step 3: Cross multiply
    744.24x = 1,116.34 × 257.28
  4. Step 4: Simplify right side
    744.24x = 287,211.96
  5. Step 5: Solve for x
    x = 287,211.96/744.24
  6. Step 6: Final answer
    x = 385.91

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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.