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Finding the Fourth Proportional to 394.97, 592.52 and 240.93

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Solution

The fourth proportional to 394.97, 592.52 and 240.93 is: 361.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.97 : 592.52 = 240.93 : x
  2. Step 2: Convert to fraction form
    394.97/592.52 = 240.93/x
  3. Step 3: Cross multiply
    394.97x = 592.52 × 240.93
  4. Step 4: Simplify right side
    394.97x = 142,754.64
  5. Step 5: Solve for x
    x = 142,754.64/394.97
  6. Step 6: Final answer
    x = 361.44

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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.