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Finding the Fourth Proportional to 498.42, 687.10 and 330.09

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Solution

The fourth proportional to 498.42, 687.10 and 330.09 is: 455.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.42 : 687.10 = 330.09 : x
  2. Step 2: Convert to fraction form
    498.42/687.10 = 330.09/x
  3. Step 3: Cross multiply
    498.42x = 687.10 × 330.09
  4. Step 4: Simplify right side
    498.42x = 226,803.68
  5. Step 5: Solve for x
    x = 226,803.68/498.42
  6. Step 6: Final answer
    x = 455.05

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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.