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Finding the Fourth Proportional to 409.84, 615.12 and 263.92

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Solution

The fourth proportional to 409.84, 615.12 and 263.92 is: 396.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.84 : 615.12 = 263.92 : x
  2. Step 2: Convert to fraction form
    409.84/615.12 = 263.92/x
  3. Step 3: Cross multiply
    409.84x = 615.12 × 263.92
  4. Step 4: Simplify right side
    409.84x = 162,342.47
  5. Step 5: Solve for x
    x = 162,342.47/409.84
  6. Step 6: Final answer
    x = 396.11

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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.