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Finding the Fourth Proportional to 486.54, 725.36 and 450.42

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Solution

The fourth proportional to 486.54, 725.36 and 450.42 is: 671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.54 : 725.36 = 450.42 : x
  2. Step 2: Convert to fraction form
    486.54/725.36 = 450.42/x
  3. Step 3: Cross multiply
    486.54x = 725.36 × 450.42
  4. Step 4: Simplify right side
    486.54x = 326,716.65
  5. Step 5: Solve for x
    x = 326,716.65/486.54
  6. Step 6: Final answer
    x = 671.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.