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Finding the Fourth Proportional to 514.60, 772.10 and 271.06

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Solution

The fourth proportional to 514.60, 772.10 and 271.06 is: 406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.60 : 772.10 = 271.06 : x
  2. Step 2: Convert to fraction form
    514.60/772.10 = 271.06/x
  3. Step 3: Cross multiply
    514.60x = 772.10 × 271.06
  4. Step 4: Simplify right side
    514.60x = 209,285.43
  5. Step 5: Solve for x
    x = 209,285.43/514.60
  6. Step 6: Final answer
    x = 406.70

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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.