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Finding the Fourth Proportional to 671.60, 926.78 and 376.82

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Solution

The fourth proportional to 671.60, 926.78 and 376.82 is: 520.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.60 : 926.78 = 376.82 : x
  2. Step 2: Convert to fraction form
    671.60/926.78 = 376.82/x
  3. Step 3: Cross multiply
    671.60x = 926.78 × 376.82
  4. Step 4: Simplify right side
    671.60x = 349,229.24
  5. Step 5: Solve for x
    x = 349,229.24/671.60
  6. Step 6: Final answer
    x = 520.00

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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.