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Finding the Fourth Proportional to 454.68, 682.49 and 332.57

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Solution

The fourth proportional to 454.68, 682.49 and 332.57 is: 499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.68 : 682.49 = 332.57 : x
  2. Step 2: Convert to fraction form
    454.68/682.49 = 332.57/x
  3. Step 3: Cross multiply
    454.68x = 682.49 × 332.57
  4. Step 4: Simplify right side
    454.68x = 226,978.24
  5. Step 5: Solve for x
    x = 226,978.24/454.68
  6. Step 6: Final answer
    x = 499.20

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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.