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Finding the Fourth Proportional to 410.76, 616.31 and 228.14

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Solution

The fourth proportional to 410.76, 616.31 and 228.14 is: 342.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.76 : 616.31 = 228.14 : x
  2. Step 2: Convert to fraction form
    410.76/616.31 = 228.14/x
  3. Step 3: Cross multiply
    410.76x = 616.31 × 228.14
  4. Step 4: Simplify right side
    410.76x = 140,600.74
  5. Step 5: Solve for x
    x = 140,600.74/410.76
  6. Step 6: Final answer
    x = 342.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.