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Finding the Fourth Proportional to 778.42, 1,167.58 and 230.68

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Solution

The fourth proportional to 778.42, 1,167.58 and 230.68 is: 346.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.42 : 1,167.58 = 230.68 : x
  2. Step 2: Convert to fraction form
    778.42/1,167.58 = 230.68/x
  3. Step 3: Cross multiply
    778.42x = 1,167.58 × 230.68
  4. Step 4: Simplify right side
    778.42x = 269,337.35
  5. Step 5: Solve for x
    x = 269,337.35/778.42
  6. Step 6: Final answer
    x = 346.01

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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.