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Finding the Fourth Proportional to 385.26, 576.52 and 334.08

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Solution

The fourth proportional to 385.26, 576.52 and 334.08 is: 499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.26 : 576.52 = 334.08 : x
  2. Step 2: Convert to fraction form
    385.26/576.52 = 334.08/x
  3. Step 3: Cross multiply
    385.26x = 576.52 × 334.08
  4. Step 4: Simplify right side
    385.26x = 192,603.80
  5. Step 5: Solve for x
    x = 192,603.80/385.26
  6. Step 6: Final answer
    x = 499.93

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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.