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Finding the Fourth Proportional to 778.01, 1,167.09 and 230.34

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Solution

The fourth proportional to 778.01, 1,167.09 and 230.34 is: 345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.01 : 1,167.09 = 230.34 : x
  2. Step 2: Convert to fraction form
    778.01/1,167.09 = 230.34/x
  3. Step 3: Cross multiply
    778.01x = 1,167.09 × 230.34
  4. Step 4: Simplify right side
    778.01x = 268,831.02
  5. Step 5: Solve for x
    x = 268,831.02/778.01
  6. Step 6: Final answer
    x = 345.54

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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.