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Finding the Fourth Proportional to 393.42, 542.88 and 253.55

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Solution

The fourth proportional to 393.42, 542.88 and 253.55 is: 349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.42 : 542.88 = 253.55 : x
  2. Step 2: Convert to fraction form
    393.42/542.88 = 253.55/x
  3. Step 3: Cross multiply
    393.42x = 542.88 × 253.55
  4. Step 4: Simplify right side
    393.42x = 137,644.51
  5. Step 5: Solve for x
    x = 137,644.51/393.42
  6. Step 6: Final answer
    x = 349.87

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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.