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Finding the Fourth Proportional to 537.49, 806.84 and 392.14

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Solution

The fourth proportional to 537.49, 806.84 and 392.14 is: 588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.49 : 806.84 = 392.14 : x
  2. Step 2: Convert to fraction form
    537.49/806.84 = 392.14/x
  3. Step 3: Cross multiply
    537.49x = 806.84 × 392.14
  4. Step 4: Simplify right side
    537.49x = 316,393.65
  5. Step 5: Solve for x
    x = 316,393.65/537.49
  6. Step 6: Final answer
    x = 588.66

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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.