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Finding the Fourth Proportional to 354.52, 489.24 and 199.28

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Solution

The fourth proportional to 354.52, 489.24 and 199.28 is: 275.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.52 : 489.24 = 199.28 : x
  2. Step 2: Convert to fraction form
    354.52/489.24 = 199.28/x
  3. Step 3: Cross multiply
    354.52x = 489.24 × 199.28
  4. Step 4: Simplify right side
    354.52x = 97,495.75
  5. Step 5: Solve for x
    x = 97,495.75/354.52
  6. Step 6: Final answer
    x = 275.01

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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.