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Finding the Fourth Proportional to 671.46, 1,007.16 and 306.54

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Solution

The fourth proportional to 671.46, 1,007.16 and 306.54 is: 459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.46 : 1,007.16 = 306.54 : x
  2. Step 2: Convert to fraction form
    671.46/1,007.16 = 306.54/x
  3. Step 3: Cross multiply
    671.46x = 1,007.16 × 306.54
  4. Step 4: Simplify right side
    671.46x = 308,734.83
  5. Step 5: Solve for x
    x = 308,734.83/671.46
  6. Step 6: Final answer
    x = 459.80

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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.