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Finding the Fourth Proportional to 942.39, 1,414.01 and 365.31

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Solution

The fourth proportional to 942.39, 1,414.01 and 365.31 is: 548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.39 : 1,414.01 = 365.31 : x
  2. Step 2: Convert to fraction form
    942.39/1,414.01 = 365.31/x
  3. Step 3: Cross multiply
    942.39x = 1,414.01 × 365.31
  4. Step 4: Simplify right side
    942.39x = 516,550.17
  5. Step 5: Solve for x
    x = 516,550.17/942.39
  6. Step 6: Final answer
    x = 548.13

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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.