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Finding the Fourth Proportional to 494.04, 681.75 and 284.25

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Solution

The fourth proportional to 494.04, 681.75 and 284.25 is: 392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.04 : 681.75 = 284.25 : x
  2. Step 2: Convert to fraction form
    494.04/681.75 = 284.25/x
  3. Step 3: Cross multiply
    494.04x = 681.75 × 284.25
  4. Step 4: Simplify right side
    494.04x = 193,787.44
  5. Step 5: Solve for x
    x = 193,787.44/494.04
  6. Step 6: Final answer
    x = 392.25

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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.