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Finding the Fourth Proportional to 695.49, 1,043.24 and 311.01

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Solution

The fourth proportional to 695.49, 1,043.24 and 311.01 is: 466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.49 : 1,043.24 = 311.01 : x
  2. Step 2: Convert to fraction form
    695.49/1,043.24 = 311.01/x
  3. Step 3: Cross multiply
    695.49x = 1,043.24 × 311.01
  4. Step 4: Simplify right side
    695.49x = 324,456.52
  5. Step 5: Solve for x
    x = 324,456.52/695.49
  6. Step 6: Final answer
    x = 466.52

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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.