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Finding the Fourth Proportional to 319.47, 477.32 and 236.85

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Solution

The fourth proportional to 319.47, 477.32 and 236.85 is: 353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.47 : 477.32 = 236.85 : x
  2. Step 2: Convert to fraction form
    319.47/477.32 = 236.85/x
  3. Step 3: Cross multiply
    319.47x = 477.32 × 236.85
  4. Step 4: Simplify right side
    319.47x = 113,052.06
  5. Step 5: Solve for x
    x = 113,052.06/319.47
  6. Step 6: Final answer
    x = 353.87

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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.