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Finding the Fourth Proportional to 942.79, 1,414.24 and 365.66

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Solution

The fourth proportional to 942.79, 1,414.24 and 365.66 is: 548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.79 : 1,414.24 = 365.66 : x
  2. Step 2: Convert to fraction form
    942.79/1,414.24 = 365.66/x
  3. Step 3: Cross multiply
    942.79x = 1,414.24 × 365.66
  4. Step 4: Simplify right side
    942.79x = 517,131.00
  5. Step 5: Solve for x
    x = 517,131.00/942.79
  6. Step 6: Final answer
    x = 548.51

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Why These Related Problems?

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