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Finding the Fourth Proportional to 392.63, 542.85 and 375.42

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Solution

The fourth proportional to 392.63, 542.85 and 375.42 is: 519.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.63 : 542.85 = 375.42 : x
  2. Step 2: Convert to fraction form
    392.63/542.85 = 375.42/x
  3. Step 3: Cross multiply
    392.63x = 542.85 × 375.42
  4. Step 4: Simplify right side
    392.63x = 203,792.16
  5. Step 5: Solve for x
    x = 203,792.16/392.63
  6. Step 6: Final answer
    x = 519.04

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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.