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Finding the Fourth Proportional to 312.49, 468.65 and 209.86

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Solution

The fourth proportional to 312.49, 468.65 and 209.86 is: 314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.49 : 468.65 = 209.86 : x
  2. Step 2: Convert to fraction form
    312.49/468.65 = 209.86/x
  3. Step 3: Cross multiply
    312.49x = 468.65 × 209.86
  4. Step 4: Simplify right side
    312.49x = 98,350.24
  5. Step 5: Solve for x
    x = 98,350.24/312.49
  6. Step 6: Final answer
    x = 314.73

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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.