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Finding the Fourth Proportional to 498.60, 687.36 and 380.56

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Solution

The fourth proportional to 498.60, 687.36 and 380.56 is: 524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.60 : 687.36 = 380.56 : x
  2. Step 2: Convert to fraction form
    498.60/687.36 = 380.56/x
  3. Step 3: Cross multiply
    498.60x = 687.36 × 380.56
  4. Step 4: Simplify right side
    498.60x = 261,581.72
  5. Step 5: Solve for x
    x = 261,581.72/498.60
  6. Step 6: Final answer
    x = 524.63

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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.