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Finding the Fourth Proportional to 687.18, 948.62 and 438.84

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Solution

The fourth proportional to 687.18, 948.62 and 438.84 is: 605.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.18 : 948.62 = 438.84 : x
  2. Step 2: Convert to fraction form
    687.18/948.62 = 438.84/x
  3. Step 3: Cross multiply
    687.18x = 948.62 × 438.84
  4. Step 4: Simplify right side
    687.18x = 416,290.21
  5. Step 5: Solve for x
    x = 416,290.21/687.18
  6. Step 6: Final answer
    x = 605.79

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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.