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Finding the Fourth Proportional to 671.46, 1,007.50 and 306.36

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Solution

The fourth proportional to 671.46, 1,007.50 and 306.36 is: 459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.46 : 1,007.50 = 306.36 : x
  2. Step 2: Convert to fraction form
    671.46/1,007.50 = 306.36/x
  3. Step 3: Cross multiply
    671.46x = 1,007.50 × 306.36
  4. Step 4: Simplify right side
    671.46x = 308,657.70
  5. Step 5: Solve for x
    x = 308,657.70/671.46
  6. Step 6: Final answer
    x = 459.68

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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.