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Finding the Fourth Proportional to 431.74, 647.72 and 212.43

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Solution

The fourth proportional to 431.74, 647.72 and 212.43 is: 318.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.74 : 647.72 = 212.43 : x
  2. Step 2: Convert to fraction form
    431.74/647.72 = 212.43/x
  3. Step 3: Cross multiply
    431.74x = 647.72 × 212.43
  4. Step 4: Simplify right side
    431.74x = 137,595.16
  5. Step 5: Solve for x
    x = 137,595.16/431.74
  6. Step 6: Final answer
    x = 318.70

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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.