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Finding the Fourth Proportional to 722.21, 1,082.49 and 357.24

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Solution

The fourth proportional to 722.21, 1,082.49 and 357.24 is: 535.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.21 : 1,082.49 = 357.24 : x
  2. Step 2: Convert to fraction form
    722.21/1,082.49 = 357.24/x
  3. Step 3: Cross multiply
    722.21x = 1,082.49 × 357.24
  4. Step 4: Simplify right side
    722.21x = 386,708.73
  5. Step 5: Solve for x
    x = 386,708.73/722.21
  6. Step 6: Final answer
    x = 535.46

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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.