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Finding the Fourth Proportional to 537.66, 742.25 and 380.42

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Solution

The fourth proportional to 537.66, 742.25 and 380.42 is: 525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.66 : 742.25 = 380.42 : x
  2. Step 2: Convert to fraction form
    537.66/742.25 = 380.42/x
  3. Step 3: Cross multiply
    537.66x = 742.25 × 380.42
  4. Step 4: Simplify right side
    537.66x = 282,361.13
  5. Step 5: Solve for x
    x = 282,361.13/537.66
  6. Step 6: Final answer
    x = 525.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.