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Finding the Fourth Proportional to 722.25, 1,082.61 and 234.90

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Solution

The fourth proportional to 722.25, 1,082.61 and 234.90 is: 352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.25 : 1,082.61 = 234.90 : x
  2. Step 2: Convert to fraction form
    722.25/1,082.61 = 234.90/x
  3. Step 3: Cross multiply
    722.25x = 1,082.61 × 234.90
  4. Step 4: Simplify right side
    722.25x = 254,305.09
  5. Step 5: Solve for x
    x = 254,305.09/722.25
  6. Step 6: Final answer
    x = 352.10

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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.