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Finding the Fourth Proportional to 385.98, 532.51 and 253.27

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Solution

The fourth proportional to 385.98, 532.51 and 253.27 is: 349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.98 : 532.51 = 253.27 : x
  2. Step 2: Convert to fraction form
    385.98/532.51 = 253.27/x
  3. Step 3: Cross multiply
    385.98x = 532.51 × 253.27
  4. Step 4: Simplify right side
    385.98x = 134,869.52
  5. Step 5: Solve for x
    x = 134,869.52/385.98
  6. Step 6: Final answer
    x = 349.42

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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.