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Finding the Fourth Proportional to 671.42, 1,006.44 and 306.47

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Solution

The fourth proportional to 671.42, 1,006.44 and 306.47 is: 459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.42 : 1,006.44 = 306.47 : x
  2. Step 2: Convert to fraction form
    671.42/1,006.44 = 306.47/x
  3. Step 3: Cross multiply
    671.42x = 1,006.44 × 306.47
  4. Step 4: Simplify right side
    671.42x = 308,438.63
  5. Step 5: Solve for x
    x = 308,438.63/671.42
  6. Step 6: Final answer
    x = 459.39

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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.