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Finding the Fourth Proportional to 542.08, 747.68 and 376.35

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Solution

The fourth proportional to 542.08, 747.68 and 376.35 is: 519.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.08 : 747.68 = 376.35 : x
  2. Step 2: Convert to fraction form
    542.08/747.68 = 376.35/x
  3. Step 3: Cross multiply
    542.08x = 747.68 × 376.35
  4. Step 4: Simplify right side
    542.08x = 281,389.37
  5. Step 5: Solve for x
    x = 281,389.37/542.08
  6. Step 6: Final answer
    x = 519.09

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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.