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Finding the Fourth Proportional to 385.44, 531.72 and 269.04

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Solution

The fourth proportional to 385.44, 531.72 and 269.04 is: 371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.44 : 531.72 = 269.04 : x
  2. Step 2: Convert to fraction form
    385.44/531.72 = 269.04/x
  3. Step 3: Cross multiply
    385.44x = 531.72 × 269.04
  4. Step 4: Simplify right side
    385.44x = 143,053.95
  5. Step 5: Solve for x
    x = 143,053.95/385.44
  6. Step 6: Final answer
    x = 371.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.