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Finding the Fourth Proportional to 337.25, 465.48 and 314.17

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Solution

The fourth proportional to 337.25, 465.48 and 314.17 is: 433.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.25 : 465.48 = 314.17 : x
  2. Step 2: Convert to fraction form
    337.25/465.48 = 314.17/x
  3. Step 3: Cross multiply
    337.25x = 465.48 × 314.17
  4. Step 4: Simplify right side
    337.25x = 146,238.69
  5. Step 5: Solve for x
    x = 146,238.69/337.25
  6. Step 6: Final answer
    x = 433.62

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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.