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Finding the Fourth Proportional to 316.33, 472.55 and 224.30

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Solution

The fourth proportional to 316.33, 472.55 and 224.30 is: 335.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.33 : 472.55 = 224.30 : x
  2. Step 2: Convert to fraction form
    316.33/472.55 = 224.30/x
  3. Step 3: Cross multiply
    316.33x = 472.55 × 224.30
  4. Step 4: Simplify right side
    316.33x = 105,993.02
  5. Step 5: Solve for x
    x = 105,993.02/316.33
  6. Step 6: Final answer
    x = 335.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.