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Finding the Fourth Proportional to 671.40, 926.46 and 376.74

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Solution

The fourth proportional to 671.40, 926.46 and 376.74 is: 519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.40 : 926.46 = 376.74 : x
  2. Step 2: Convert to fraction form
    671.40/926.46 = 376.74/x
  3. Step 3: Cross multiply
    671.40x = 926.46 × 376.74
  4. Step 4: Simplify right side
    671.40x = 349,034.54
  5. Step 5: Solve for x
    x = 349,034.54/671.40
  6. Step 6: Final answer
    x = 519.86

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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.