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Finding the Fourth Proportional to 502.10, 754.05 and 365.30

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Solution

The fourth proportional to 502.10, 754.05 and 365.30 is: 548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.10 : 754.05 = 365.30 : x
  2. Step 2: Convert to fraction form
    502.10/754.05 = 365.30/x
  3. Step 3: Cross multiply
    502.10x = 754.05 × 365.30
  4. Step 4: Simplify right side
    502.10x = 275,454.47
  5. Step 5: Solve for x
    x = 275,454.47/502.10
  6. Step 6: Final answer
    x = 548.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.