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Finding the Fourth Proportional to 652.44, 977.02 and 408.22

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Solution

The fourth proportional to 652.44, 977.02 and 408.22 is: 611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.44 : 977.02 = 408.22 : x
  2. Step 2: Convert to fraction form
    652.44/977.02 = 408.22/x
  3. Step 3: Cross multiply
    652.44x = 977.02 × 408.22
  4. Step 4: Simplify right side
    652.44x = 398,839.10
  5. Step 5: Solve for x
    x = 398,839.10/652.44
  6. Step 6: Final answer
    x = 611.30

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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.