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Finding the Fourth Proportional to 312.56, 468.69 and 209.59

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Solution

The fourth proportional to 312.56, 468.69 and 209.59 is: 314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.56 : 468.69 = 209.59 : x
  2. Step 2: Convert to fraction form
    312.56/468.69 = 209.59/x
  3. Step 3: Cross multiply
    312.56x = 468.69 × 209.59
  4. Step 4: Simplify right side
    312.56x = 98,230.78
  5. Step 5: Solve for x
    x = 98,230.78/312.56
  6. Step 6: Final answer
    x = 314.28

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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.