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Finding the Fourth Proportional to 392.79, 542.11 and 282.63

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Solution

The fourth proportional to 392.79, 542.11 and 282.63 is: 390.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.79 : 542.11 = 282.63 : x
  2. Step 2: Convert to fraction form
    392.79/542.11 = 282.63/x
  3. Step 3: Cross multiply
    392.79x = 542.11 × 282.63
  4. Step 4: Simplify right side
    392.79x = 153,216.55
  5. Step 5: Solve for x
    x = 153,216.55/392.79
  6. Step 6: Final answer
    x = 390.07

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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.