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Finding the Fourth Proportional to 394.79, 592.54 and 199.92

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Solution

The fourth proportional to 394.79, 592.54 and 199.92 is: 300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.79 : 592.54 = 199.92 : x
  2. Step 2: Convert to fraction form
    394.79/592.54 = 199.92/x
  3. Step 3: Cross multiply
    394.79x = 592.54 × 199.92
  4. Step 4: Simplify right side
    394.79x = 118,460.60
  5. Step 5: Solve for x
    x = 118,460.60/394.79
  6. Step 6: Final answer
    x = 300.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.