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Finding the Fourth Proportional to 409.62, 614.98 and 255.86

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Solution

The fourth proportional to 409.62, 614.98 and 255.86 is: 384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.62 : 614.98 = 255.86 : x
  2. Step 2: Convert to fraction form
    409.62/614.98 = 255.86/x
  3. Step 3: Cross multiply
    409.62x = 614.98 × 255.86
  4. Step 4: Simplify right side
    409.62x = 157,348.78
  5. Step 5: Solve for x
    x = 157,348.78/409.62
  6. Step 6: Final answer
    x = 384.13

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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.