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Finding the Fourth Proportional to 317.36, 437.76 and 212.24

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Solution

The fourth proportional to 317.36, 437.76 and 212.24 is: 292.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.36 : 437.76 = 212.24 : x
  2. Step 2: Convert to fraction form
    317.36/437.76 = 212.24/x
  3. Step 3: Cross multiply
    317.36x = 437.76 × 212.24
  4. Step 4: Simplify right side
    317.36x = 92,910.18
  5. Step 5: Solve for x
    x = 92,910.18/317.36
  6. Step 6: Final answer
    x = 292.76

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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.