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Finding the Fourth Proportional to 463.56, 696.45 and 268.68

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Solution

The fourth proportional to 463.56, 696.45 and 268.68 is: 403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.56 : 696.45 = 268.68 : x
  2. Step 2: Convert to fraction form
    463.56/696.45 = 268.68/x
  3. Step 3: Cross multiply
    463.56x = 696.45 × 268.68
  4. Step 4: Simplify right side
    463.56x = 187,122.19
  5. Step 5: Solve for x
    x = 187,122.19/463.56
  6. Step 6: Final answer
    x = 403.66

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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.