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Finding the Fourth Proportional to 392.28, 585.59 and 363.79

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Solution

The fourth proportional to 392.28, 585.59 and 363.79 is: 543.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.28 : 585.59 = 363.79 : x
  2. Step 2: Convert to fraction form
    392.28/585.59 = 363.79/x
  3. Step 3: Cross multiply
    392.28x = 585.59 × 363.79
  4. Step 4: Simplify right side
    392.28x = 213,031.79
  5. Step 5: Solve for x
    x = 213,031.79/392.28
  6. Step 6: Final answer
    x = 543.06

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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.