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Finding the Fourth Proportional to 307.38, 423.44 and 258.24

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Solution

The fourth proportional to 307.38, 423.44 and 258.24 is: 355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.38 : 423.44 = 258.24 : x
  2. Step 2: Convert to fraction form
    307.38/423.44 = 258.24/x
  3. Step 3: Cross multiply
    307.38x = 423.44 × 258.24
  4. Step 4: Simplify right side
    307.38x = 109,349.15
  5. Step 5: Solve for x
    x = 109,349.15/307.38
  6. Step 6: Final answer
    x = 355.75

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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.