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Finding the Fourth Proportional to 392.84, 586.17 and 379.63

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Solution

The fourth proportional to 392.84, 586.17 and 379.63 is: 566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.84 : 586.17 = 379.63 : x
  2. Step 2: Convert to fraction form
    392.84/586.17 = 379.63/x
  3. Step 3: Cross multiply
    392.84x = 586.17 × 379.63
  4. Step 4: Simplify right side
    392.84x = 222,527.72
  5. Step 5: Solve for x
    x = 222,527.72/392.84
  6. Step 6: Final answer
    x = 566.46

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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.