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Finding the Fourth Proportional to 307.89, 462.29 and 298.78

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Solution

The fourth proportional to 307.89, 462.29 and 298.78 is: 448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.89 : 462.29 = 298.78 : x
  2. Step 2: Convert to fraction form
    307.89/462.29 = 298.78/x
  3. Step 3: Cross multiply
    307.89x = 462.29 × 298.78
  4. Step 4: Simplify right side
    307.89x = 138,123.01
  5. Step 5: Solve for x
    x = 138,123.01/307.89
  6. Step 6: Final answer
    x = 448.61

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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.