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Finding the Fourth Proportional to 384.33, 576.26 and 254.19

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Solution

The fourth proportional to 384.33, 576.26 and 254.19 is: 381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.33 : 576.26 = 254.19 : x
  2. Step 2: Convert to fraction form
    384.33/576.26 = 254.19/x
  3. Step 3: Cross multiply
    384.33x = 576.26 × 254.19
  4. Step 4: Simplify right side
    384.33x = 146,478.26
  5. Step 5: Solve for x
    x = 146,478.26/384.33
  6. Step 6: Final answer
    x = 381.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.