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Finding the Fourth Proportional to 409.57, 614.36 and 101.42

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Solution

The fourth proportional to 409.57, 614.36 and 101.42 is: 152.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.57 : 614.36 = 101.42 : x
  2. Step 2: Convert to fraction form
    409.57/614.36 = 101.42/x
  3. Step 3: Cross multiply
    409.57x = 614.36 × 101.42
  4. Step 4: Simplify right side
    409.57x = 62,309.42
  5. Step 5: Solve for x
    x = 62,309.42/409.57
  6. Step 6: Final answer
    x = 152.13

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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.