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Finding the Fourth Proportional to 409.60, 613.14 and 288.04

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Solution

The fourth proportional to 409.60, 613.14 and 288.04 is: 431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.60 : 613.14 = 288.04 : x
  2. Step 2: Convert to fraction form
    409.60/613.14 = 288.04/x
  3. Step 3: Cross multiply
    409.60x = 613.14 × 288.04
  4. Step 4: Simplify right side
    409.60x = 176,608.85
  5. Step 5: Solve for x
    x = 176,608.85/409.60
  6. Step 6: Final answer
    x = 431.17

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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.