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Finding the Fourth Proportional to 494.16, 683.04 and 461.22

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Solution

The fourth proportional to 494.16, 683.04 and 461.22 is: 637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.16 : 683.04 = 461.22 : x
  2. Step 2: Convert to fraction form
    494.16/683.04 = 461.22/x
  3. Step 3: Cross multiply
    494.16x = 683.04 × 461.22
  4. Step 4: Simplify right side
    494.16x = 315,031.71
  5. Step 5: Solve for x
    x = 315,031.71/494.16
  6. Step 6: Final answer
    x = 637.51

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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.