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Finding the Fourth Proportional to 392.98, 542.55 and 245.74

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Solution

The fourth proportional to 392.98, 542.55 and 245.74 is: 339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.98 : 542.55 = 245.74 : x
  2. Step 2: Convert to fraction form
    392.98/542.55 = 245.74/x
  3. Step 3: Cross multiply
    392.98x = 542.55 × 245.74
  4. Step 4: Simplify right side
    392.98x = 133,326.24
  5. Step 5: Solve for x
    x = 133,326.24/392.98
  6. Step 6: Final answer
    x = 339.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.