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Finding the Fourth Proportional to 744.44, 1,115.64 and 257.04

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Solution

The fourth proportional to 744.44, 1,115.64 and 257.04 is: 385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.44 : 1,115.64 = 257.04 : x
  2. Step 2: Convert to fraction form
    744.44/1,115.64 = 257.04/x
  3. Step 3: Cross multiply
    744.44x = 1,115.64 × 257.04
  4. Step 4: Simplify right side
    744.44x = 286,764.11
  5. Step 5: Solve for x
    x = 286,764.11/744.44
  6. Step 6: Final answer
    x = 385.21

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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.