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Finding the Fourth Proportional to 409.58, 612.82 and 294.29

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Solution

The fourth proportional to 409.58, 612.82 and 294.29 is: 440.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.58 : 612.82 = 294.29 : x
  2. Step 2: Convert to fraction form
    409.58/612.82 = 294.29/x
  3. Step 3: Cross multiply
    409.58x = 612.82 × 294.29
  4. Step 4: Simplify right side
    409.58x = 180,348.70
  5. Step 5: Solve for x
    x = 180,348.70/409.58
  6. Step 6: Final answer
    x = 440.32

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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.