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Finding the Fourth Proportional to 312.36, 468.34 and 209.72

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Solution

The fourth proportional to 312.36, 468.34 and 209.72 is: 314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.36 : 468.34 = 209.72 : x
  2. Step 2: Convert to fraction form
    312.36/468.34 = 209.72/x
  3. Step 3: Cross multiply
    312.36x = 468.34 × 209.72
  4. Step 4: Simplify right side
    312.36x = 98,217.40
  5. Step 5: Solve for x
    x = 98,217.40/312.36
  6. Step 6: Final answer
    x = 314.44

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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.