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Finding the Fourth Proportional to 385.30, 574.99 and 344.29

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Solution

The fourth proportional to 385.30, 574.99 and 344.29 is: 513.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.30 : 574.99 = 344.29 : x
  2. Step 2: Convert to fraction form
    385.30/574.99 = 344.29/x
  3. Step 3: Cross multiply
    385.30x = 574.99 × 344.29
  4. Step 4: Simplify right side
    385.30x = 197,963.31
  5. Step 5: Solve for x
    x = 197,963.31/385.30
  6. Step 6: Final answer
    x = 513.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.