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Finding the Fourth Proportional to 392.29, 541.42 and 282.13

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Solution

The fourth proportional to 392.29, 541.42 and 282.13 is: 389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.29 : 541.42 = 282.13 : x
  2. Step 2: Convert to fraction form
    392.29/541.42 = 282.13/x
  3. Step 3: Cross multiply
    392.29x = 541.42 × 282.13
  4. Step 4: Simplify right side
    392.29x = 152,748.77
  5. Step 5: Solve for x
    x = 152,748.77/392.29
  6. Step 6: Final answer
    x = 389.38

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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.