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Finding the Fourth Proportional to 494.11, 744.91 and 467.65

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Solution

The fourth proportional to 494.11, 744.91 and 467.65 is: 705.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.11 : 744.91 = 467.65 : x
  2. Step 2: Convert to fraction form
    494.11/744.91 = 467.65/x
  3. Step 3: Cross multiply
    494.11x = 744.91 × 467.65
  4. Step 4: Simplify right side
    494.11x = 348,353.44
  5. Step 5: Solve for x
    x = 348,353.44/494.11
  6. Step 6: Final answer
    x = 705.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.