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Finding the Fourth Proportional to 671.48, 926.63 and 376.75

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Solution

The fourth proportional to 671.48, 926.63 and 376.75 is: 519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.48 : 926.63 = 376.75 : x
  2. Step 2: Convert to fraction form
    671.48/926.63 = 376.75/x
  3. Step 3: Cross multiply
    671.48x = 926.63 × 376.75
  4. Step 4: Simplify right side
    671.48x = 349,107.85
  5. Step 5: Solve for x
    x = 349,107.85/671.48
  6. Step 6: Final answer
    x = 519.91

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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.