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Finding the Fourth Proportional to 307.24, 422.82 and 258.76

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Solution

The fourth proportional to 307.24, 422.82 and 258.76 is: 356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.24 : 422.82 = 258.76 : x
  2. Step 2: Convert to fraction form
    307.24/422.82 = 258.76/x
  3. Step 3: Cross multiply
    307.24x = 422.82 × 258.76
  4. Step 4: Simplify right side
    307.24x = 109,408.90
  5. Step 5: Solve for x
    x = 109,408.90/307.24
  6. Step 6: Final answer
    x = 356.10

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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.