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Finding the Fourth Proportional to 391.16, 538.62 and 360.20

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Solution

The fourth proportional to 391.16, 538.62 and 360.20 is: 495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.16 : 538.62 = 360.20 : x
  2. Step 2: Convert to fraction form
    391.16/538.62 = 360.20/x
  3. Step 3: Cross multiply
    391.16x = 538.62 × 360.20
  4. Step 4: Simplify right side
    391.16x = 194,010.92
  5. Step 5: Solve for x
    x = 194,010.92/391.16
  6. Step 6: Final answer
    x = 495.99

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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.