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Finding the Fourth Proportional to 652.28, 976.26 and 408.28

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Solution

The fourth proportional to 652.28, 976.26 and 408.28 is: 611.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.28 : 976.26 = 408.28 : x
  2. Step 2: Convert to fraction form
    652.28/976.26 = 408.28/x
  3. Step 3: Cross multiply
    652.28x = 976.26 × 408.28
  4. Step 4: Simplify right side
    652.28x = 398,587.43
  5. Step 5: Solve for x
    x = 398,587.43/652.28
  6. Step 6: Final answer
    x = 611.07

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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.