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Finding the Fourth Proportional to 687.74, 949.86 and 466.31

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Solution

The fourth proportional to 687.74, 949.86 and 466.31 is: 644.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.74 : 949.86 = 466.31 : x
  2. Step 2: Convert to fraction form
    687.74/949.86 = 466.31/x
  3. Step 3: Cross multiply
    687.74x = 949.86 × 466.31
  4. Step 4: Simplify right side
    687.74x = 442,926.25
  5. Step 5: Solve for x
    x = 442,926.25/687.74
  6. Step 6: Final answer
    x = 644.03

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