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Finding the Fourth Proportional to 392.84, 591.46 and 285.38

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Solution

The fourth proportional to 392.84, 591.46 and 285.38 is: 429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.84 : 591.46 = 285.38 : x
  2. Step 2: Convert to fraction form
    392.84/591.46 = 285.38/x
  3. Step 3: Cross multiply
    392.84x = 591.46 × 285.38
  4. Step 4: Simplify right side
    392.84x = 168,789.43
  5. Step 5: Solve for x
    x = 168,789.43/392.84
  6. Step 6: Final answer
    x = 429.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.