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Finding the Fourth Proportional to 312.17, 467.99 and 209.15

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Solution

The fourth proportional to 312.17, 467.99 and 209.15 is: 313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.17 : 467.99 = 209.15 : x
  2. Step 2: Convert to fraction form
    312.17/467.99 = 209.15/x
  3. Step 3: Cross multiply
    312.17x = 467.99 × 209.15
  4. Step 4: Simplify right side
    312.17x = 97,877.77
  5. Step 5: Solve for x
    x = 97,877.77/312.17
  6. Step 6: Final answer
    x = 313.54

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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.