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Finding the Fourth Proportional to 514.52, 771.70 and 240.76

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Solution

The fourth proportional to 514.52, 771.70 and 240.76 is: 361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.52 : 771.70 = 240.76 : x
  2. Step 2: Convert to fraction form
    514.52/771.70 = 240.76/x
  3. Step 3: Cross multiply
    514.52x = 771.70 × 240.76
  4. Step 4: Simplify right side
    514.52x = 185,794.49
  5. Step 5: Solve for x
    x = 185,794.49/514.52
  6. Step 6: Final answer
    x = 361.10

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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.