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Finding the Fourth Proportional to 671.50, 925.86 and 461.71

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Solution

The fourth proportional to 671.50, 925.86 and 461.71 is: 636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.50 : 925.86 = 461.71 : x
  2. Step 2: Convert to fraction form
    671.50/925.86 = 461.71/x
  3. Step 3: Cross multiply
    671.50x = 925.86 × 461.71
  4. Step 4: Simplify right side
    671.50x = 427,478.82
  5. Step 5: Solve for x
    x = 427,478.82/671.50
  6. Step 6: Final answer
    x = 636.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.