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Finding the Fourth Proportional to 371.52, 513.54 and 284.58

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Solution

The fourth proportional to 371.52, 513.54 and 284.58 is: 393.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.52 : 513.54 = 284.58 : x
  2. Step 2: Convert to fraction form
    371.52/513.54 = 284.58/x
  3. Step 3: Cross multiply
    371.52x = 513.54 × 284.58
  4. Step 4: Simplify right side
    371.52x = 146,143.21
  5. Step 5: Solve for x
    x = 146,143.21/371.52
  6. Step 6: Final answer
    x = 393.37

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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.