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Finding the Fourth Proportional to 431.49, 647.12 and 211.98

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Solution

The fourth proportional to 431.49, 647.12 and 211.98 is: 317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.49 : 647.12 = 211.98 : x
  2. Step 2: Convert to fraction form
    431.49/647.12 = 211.98/x
  3. Step 3: Cross multiply
    431.49x = 647.12 × 211.98
  4. Step 4: Simplify right side
    431.49x = 137,178.26
  5. Step 5: Solve for x
    x = 137,178.26/431.49
  6. Step 6: Final answer
    x = 317.91

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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.