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Finding the Fourth Proportional to 354.82, 489.49 and 230.52

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Solution

The fourth proportional to 354.82, 489.49 and 230.52 is: 318.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.82 : 489.49 = 230.52 : x
  2. Step 2: Convert to fraction form
    354.82/489.49 = 230.52/x
  3. Step 3: Cross multiply
    354.82x = 489.49 × 230.52
  4. Step 4: Simplify right side
    354.82x = 112,837.23
  5. Step 5: Solve for x
    x = 112,837.23/354.82
  6. Step 6: Final answer
    x = 318.01

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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.