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Finding the Fourth Proportional to 514.74, 772.40 and 331.88

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Solution

The fourth proportional to 514.74, 772.40 and 331.88 is: 498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.74 : 772.40 = 331.88 : x
  2. Step 2: Convert to fraction form
    514.74/772.40 = 331.88/x
  3. Step 3: Cross multiply
    514.74x = 772.40 × 331.88
  4. Step 4: Simplify right side
    514.74x = 256,344.11
  5. Step 5: Solve for x
    x = 256,344.11/514.74
  6. Step 6: Final answer
    x = 498.01

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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.