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Finding the Fourth Proportional to 410.96, 617.02 and 256.44

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Solution

The fourth proportional to 410.96, 617.02 and 256.44 is: 385.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.96 : 617.02 = 256.44 : x
  2. Step 2: Convert to fraction form
    410.96/617.02 = 256.44/x
  3. Step 3: Cross multiply
    410.96x = 617.02 × 256.44
  4. Step 4: Simplify right side
    410.96x = 158,228.61
  5. Step 5: Solve for x
    x = 158,228.61/410.96
  6. Step 6: Final answer
    x = 385.02

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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.