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Finding the Fourth Proportional to 410.87, 616.35 and 154.37

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Solution

The fourth proportional to 410.87, 616.35 and 154.37 is: 231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.87 : 616.35 = 154.37 : x
  2. Step 2: Convert to fraction form
    410.87/616.35 = 154.37/x
  3. Step 3: Cross multiply
    410.87x = 616.35 × 154.37
  4. Step 4: Simplify right side
    410.87x = 95,145.18
  5. Step 5: Solve for x
    x = 95,145.18/410.87
  6. Step 6: Final answer
    x = 231.57

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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.