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Finding the Fourth Proportional to 613.42, 918.31 and 466.71

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Solution

The fourth proportional to 613.42, 918.31 and 466.71 is: 698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.42 : 918.31 = 466.71 : x
  2. Step 2: Convert to fraction form
    613.42/918.31 = 466.71/x
  3. Step 3: Cross multiply
    613.42x = 918.31 × 466.71
  4. Step 4: Simplify right side
    613.42x = 428,587.20
  5. Step 5: Solve for x
    x = 428,587.20/613.42
  6. Step 6: Final answer
    x = 698.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.