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Finding the Fourth Proportional to 312.96, 432.08 and 209.60

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Solution

The fourth proportional to 312.96, 432.08 and 209.60 is: 289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.96 : 432.08 = 209.60 : x
  2. Step 2: Convert to fraction form
    312.96/432.08 = 209.60/x
  3. Step 3: Cross multiply
    312.96x = 432.08 × 209.60
  4. Step 4: Simplify right side
    312.96x = 90,563.97
  5. Step 5: Solve for x
    x = 90,563.97/312.96
  6. Step 6: Final answer
    x = 289.38

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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.