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Finding the Fourth Proportional to 312.31, 468.24 and 209.35

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Solution

The fourth proportional to 312.31, 468.24 and 209.35 is: 313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.31 : 468.24 = 209.35 : x
  2. Step 2: Convert to fraction form
    312.31/468.24 = 209.35/x
  3. Step 3: Cross multiply
    312.31x = 468.24 × 209.35
  4. Step 4: Simplify right side
    312.31x = 98,026.04
  5. Step 5: Solve for x
    x = 98,026.04/312.31
  6. Step 6: Final answer
    x = 313.87

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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.