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Finding the Fourth Proportional to 498.69, 688.30 and 333.18

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Solution

The fourth proportional to 498.69, 688.30 and 333.18 is: 459.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.69 : 688.30 = 333.18 : x
  2. Step 2: Convert to fraction form
    498.69/688.30 = 333.18/x
  3. Step 3: Cross multiply
    498.69x = 688.30 × 333.18
  4. Step 4: Simplify right side
    498.69x = 229,326.96
  5. Step 5: Solve for x
    x = 229,326.96/498.69
  6. Step 6: Final answer
    x = 459.86

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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.