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Finding the Fourth Proportional to 671.93, 927.36 and 505.88

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Solution

The fourth proportional to 671.93, 927.36 and 505.88 is: 698.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.93 : 927.36 = 505.88 : x
  2. Step 2: Convert to fraction form
    671.93/927.36 = 505.88/x
  3. Step 3: Cross multiply
    671.93x = 927.36 × 505.88
  4. Step 4: Simplify right side
    671.93x = 469,132.88
  5. Step 5: Solve for x
    x = 469,132.88/671.93
  6. Step 6: Final answer
    x = 698.19

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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.