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Finding the Fourth Proportional to 392.42, 542.55 and 375.20

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Solution

The fourth proportional to 392.42, 542.55 and 375.20 is: 518.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.42 : 542.55 = 375.20 : x
  2. Step 2: Convert to fraction form
    392.42/542.55 = 375.20/x
  3. Step 3: Cross multiply
    392.42x = 542.55 × 375.20
  4. Step 4: Simplify right side
    392.42x = 203,564.76
  5. Step 5: Solve for x
    x = 203,564.76/392.42
  6. Step 6: Final answer
    x = 518.74

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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.