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Finding the Fourth Proportional to 392.85, 542.10 and 235.56

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Solution

The fourth proportional to 392.85, 542.10 and 235.56 is: 325.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.85 : 542.10 = 235.56 : x
  2. Step 2: Convert to fraction form
    392.85/542.10 = 235.56/x
  3. Step 3: Cross multiply
    392.85x = 542.10 × 235.56
  4. Step 4: Simplify right side
    392.85x = 127,697.08
  5. Step 5: Solve for x
    x = 127,697.08/392.85
  6. Step 6: Final answer
    x = 325.05

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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.