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Finding the Fourth Proportional to 385.84, 532.29 and 269.47

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Solution

The fourth proportional to 385.84, 532.29 and 269.47 is: 371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.84 : 532.29 = 269.47 : x
  2. Step 2: Convert to fraction form
    385.84/532.29 = 269.47/x
  3. Step 3: Cross multiply
    385.84x = 532.29 × 269.47
  4. Step 4: Simplify right side
    385.84x = 143,434.86
  5. Step 5: Solve for x
    x = 143,434.86/385.84
  6. Step 6: Final answer
    x = 371.75

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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.