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Finding the Fourth Proportional to 374.13, 561.33 and 209.79

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Solution

The fourth proportional to 374.13, 561.33 and 209.79 is: 314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.13 : 561.33 = 209.79 : x
  2. Step 2: Convert to fraction form
    374.13/561.33 = 209.79/x
  3. Step 3: Cross multiply
    374.13x = 561.33 × 209.79
  4. Step 4: Simplify right side
    374.13x = 117,761.42
  5. Step 5: Solve for x
    x = 117,761.42/374.13
  6. Step 6: Final answer
    x = 314.76

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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.