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Finding the Fourth Proportional to 514.41, 772.08 and 240.66

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Solution

The fourth proportional to 514.41, 772.08 and 240.66 is: 361.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.41 : 772.08 = 240.66 : x
  2. Step 2: Convert to fraction form
    514.41/772.08 = 240.66/x
  3. Step 3: Cross multiply
    514.41x = 772.08 × 240.66
  4. Step 4: Simplify right side
    514.41x = 185,808.77
  5. Step 5: Solve for x
    x = 185,808.77/514.41
  6. Step 6: Final answer
    x = 361.21

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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.