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Finding the Fourth Proportional to 494.89, 683.03 and 473.02

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Solution

The fourth proportional to 494.89, 683.03 and 473.02 is: 652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.89 : 683.03 = 473.02 : x
  2. Step 2: Convert to fraction form
    494.89/683.03 = 473.02/x
  3. Step 3: Cross multiply
    494.89x = 683.03 × 473.02
  4. Step 4: Simplify right side
    494.89x = 323,086.85
  5. Step 5: Solve for x
    x = 323,086.85/494.89
  6. Step 6: Final answer
    x = 652.85

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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.