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Finding the Fourth Proportional to 374.70, 517.05 and 217.34

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Solution

The fourth proportional to 374.70, 517.05 and 217.34 is: 299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.70 : 517.05 = 217.34 : x
  2. Step 2: Convert to fraction form
    374.70/517.05 = 217.34/x
  3. Step 3: Cross multiply
    374.70x = 517.05 × 217.34
  4. Step 4: Simplify right side
    374.70x = 112,373.06
  5. Step 5: Solve for x
    x = 112,373.06/374.70
  6. Step 6: Final answer
    x = 299.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.