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Finding the Fourth Proportional to 312.59, 431.12 and 219.17

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Solution

The fourth proportional to 312.59, 431.12 and 219.17 is: 302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.59 : 431.12 = 219.17 : x
  2. Step 2: Convert to fraction form
    312.59/431.12 = 219.17/x
  3. Step 3: Cross multiply
    312.59x = 431.12 × 219.17
  4. Step 4: Simplify right side
    312.59x = 94,490.20
  5. Step 5: Solve for x
    x = 94,490.20/312.59
  6. Step 6: Final answer
    x = 302.28

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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.