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Finding the Fourth Proportional to 462.92, 690.36 and 394.88

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Solution

The fourth proportional to 462.92, 690.36 and 394.88 is: 588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.92 : 690.36 = 394.88 : x
  2. Step 2: Convert to fraction form
    462.92/690.36 = 394.88/x
  3. Step 3: Cross multiply
    462.92x = 690.36 × 394.88
  4. Step 4: Simplify right side
    462.92x = 272,604.42
  5. Step 5: Solve for x
    x = 272,604.42/462.92
  6. Step 6: Final answer
    x = 588.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.