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Finding the Fourth Proportional to 392.84, 542.16 and 227.08

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Solution

The fourth proportional to 392.84, 542.16 and 227.08 is: 313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.84 : 542.16 = 227.08 : x
  2. Step 2: Convert to fraction form
    392.84/542.16 = 227.08/x
  3. Step 3: Cross multiply
    392.84x = 542.16 × 227.08
  4. Step 4: Simplify right side
    392.84x = 123,113.69
  5. Step 5: Solve for x
    x = 123,113.69/392.84
  6. Step 6: Final answer
    x = 313.39

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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.