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Finding the Fourth Proportional to 385.92, 532.78 and 262.24

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Solution

The fourth proportional to 385.92, 532.78 and 262.24 is: 362.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.92 : 532.78 = 262.24 : x
  2. Step 2: Convert to fraction form
    385.92/532.78 = 262.24/x
  3. Step 3: Cross multiply
    385.92x = 532.78 × 262.24
  4. Step 4: Simplify right side
    385.92x = 139,716.23
  5. Step 5: Solve for x
    x = 139,716.23/385.92
  6. Step 6: Final answer
    x = 362.03

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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.