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Finding the Fourth Proportional to 450.65, 676.38 and 296.15

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Solution

The fourth proportional to 450.65, 676.38 and 296.15 is: 444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.65 : 676.38 = 296.15 : x
  2. Step 2: Convert to fraction form
    450.65/676.38 = 296.15/x
  3. Step 3: Cross multiply
    450.65x = 676.38 × 296.15
  4. Step 4: Simplify right side
    450.65x = 200,306.56
  5. Step 5: Solve for x
    x = 200,306.56/450.65
  6. Step 6: Final answer
    x = 444.49

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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.