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Finding the Fourth Proportional to 463.85, 696.10 and 342.42

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Solution

The fourth proportional to 463.85, 696.10 and 342.42 is: 513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.85 : 696.10 = 342.42 : x
  2. Step 2: Convert to fraction form
    463.85/696.10 = 342.42/x
  3. Step 3: Cross multiply
    463.85x = 696.10 × 342.42
  4. Step 4: Simplify right side
    463.85x = 238,358.56
  5. Step 5: Solve for x
    x = 238,358.56/463.85
  6. Step 6: Final answer
    x = 513.87

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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.