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Finding the Fourth Proportional to 385.36, 532.07 and 254.64

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Solution

The fourth proportional to 385.36, 532.07 and 254.64 is: 351.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.36 : 532.07 = 254.64 : x
  2. Step 2: Convert to fraction form
    385.36/532.07 = 254.64/x
  3. Step 3: Cross multiply
    385.36x = 532.07 × 254.64
  4. Step 4: Simplify right side
    385.36x = 135,486.30
  5. Step 5: Solve for x
    x = 135,486.30/385.36
  6. Step 6: Final answer
    x = 351.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.