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Finding the Fourth Proportional to 652.43, 899.33 and 494.43

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Solution

The fourth proportional to 652.43, 899.33 and 494.43 is: 681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.43 : 899.33 = 494.43 : x
  2. Step 2: Convert to fraction form
    652.43/899.33 = 494.43/x
  3. Step 3: Cross multiply
    652.43x = 899.33 × 494.43
  4. Step 4: Simplify right side
    652.43x = 444,650.81
  5. Step 5: Solve for x
    x = 444,650.81/652.43
  6. Step 6: Final answer
    x = 681.53

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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.