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Finding the Fourth Proportional to 409.76, 613.28 and 255.16

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Solution

The fourth proportional to 409.76, 613.28 and 255.16 is: 381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.76 : 613.28 = 255.16 : x
  2. Step 2: Convert to fraction form
    409.76/613.28 = 255.16/x
  3. Step 3: Cross multiply
    409.76x = 613.28 × 255.16
  4. Step 4: Simplify right side
    409.76x = 156,484.52
  5. Step 5: Solve for x
    x = 156,484.52/409.76
  6. Step 6: Final answer
    x = 381.89

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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.