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Finding the Fourth Proportional to 409.48, 613.68 and 264.88

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Solution

The fourth proportional to 409.48, 613.68 and 264.88 is: 396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.48 : 613.68 = 264.88 : x
  2. Step 2: Convert to fraction form
    409.48/613.68 = 264.88/x
  3. Step 3: Cross multiply
    409.48x = 613.68 × 264.88
  4. Step 4: Simplify right side
    409.48x = 162,551.56
  5. Step 5: Solve for x
    x = 162,551.56/409.48
  6. Step 6: Final answer
    x = 396.97

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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.