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Finding the Fourth Proportional to 312.31, 468.77 and 209.26

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Solution

The fourth proportional to 312.31, 468.77 and 209.26 is: 314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.31 : 468.77 = 209.26 : x
  2. Step 2: Convert to fraction form
    312.31/468.77 = 209.26/x
  3. Step 3: Cross multiply
    312.31x = 468.77 × 209.26
  4. Step 4: Simplify right side
    312.31x = 98,094.81
  5. Step 5: Solve for x
    x = 98,094.81/312.31
  6. Step 6: Final answer
    x = 314.09

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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.