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Finding the Fourth Proportional to 392.88, 542.34 and 253.02

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Solution

The fourth proportional to 392.88, 542.34 and 253.02 is: 349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.88 : 542.34 = 253.02 : x
  2. Step 2: Convert to fraction form
    392.88/542.34 = 253.02/x
  3. Step 3: Cross multiply
    392.88x = 542.34 × 253.02
  4. Step 4: Simplify right side
    392.88x = 137,222.87
  5. Step 5: Solve for x
    x = 137,222.87/392.88
  6. Step 6: Final answer
    x = 349.27

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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.