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Finding the Fourth Proportional to 385.80, 532.26 and 228.42

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Solution

The fourth proportional to 385.80, 532.26 and 228.42 is: 315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.80 : 532.26 = 228.42 : x
  2. Step 2: Convert to fraction form
    385.80/532.26 = 228.42/x
  3. Step 3: Cross multiply
    385.80x = 532.26 × 228.42
  4. Step 4: Simplify right side
    385.80x = 121,578.83
  5. Step 5: Solve for x
    x = 121,578.83/385.80
  6. Step 6: Final answer
    x = 315.13

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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.