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Finding the Fourth Proportional to 353.35, 487.47 and 264.97

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Solution

The fourth proportional to 353.35, 487.47 and 264.97 is: 365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.35 : 487.47 = 264.97 : x
  2. Step 2: Convert to fraction form
    353.35/487.47 = 264.97/x
  3. Step 3: Cross multiply
    353.35x = 487.47 × 264.97
  4. Step 4: Simplify right side
    353.35x = 129,164.93
  5. Step 5: Solve for x
    x = 129,164.93/353.35
  6. Step 6: Final answer
    x = 365.54

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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.