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Finding the Fourth Proportional to 374.29, 561.71 and 212.29

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Solution

The fourth proportional to 374.29, 561.71 and 212.29 is: 318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.29 : 561.71 = 212.29 : x
  2. Step 2: Convert to fraction form
    374.29/561.71 = 212.29/x
  3. Step 3: Cross multiply
    374.29x = 561.71 × 212.29
  4. Step 4: Simplify right side
    374.29x = 119,245.42
  5. Step 5: Solve for x
    x = 119,245.42/374.29
  6. Step 6: Final answer
    x = 318.59

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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.