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Finding the Fourth Proportional to 393.50, 542.90 and 246.22

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Solution

The fourth proportional to 393.50, 542.90 and 246.22 is: 339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.50 : 542.90 = 246.22 : x
  2. Step 2: Convert to fraction form
    393.50/542.90 = 246.22/x
  3. Step 3: Cross multiply
    393.50x = 542.90 × 246.22
  4. Step 4: Simplify right side
    393.50x = 133,672.84
  5. Step 5: Solve for x
    x = 133,672.84/393.50
  6. Step 6: Final answer
    x = 339.70

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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.