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Finding the Fourth Proportional to 493.25, 740.30 and 200.90

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Solution

The fourth proportional to 493.25, 740.30 and 200.90 is: 301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.25 : 740.30 = 200.90 : x
  2. Step 2: Convert to fraction form
    493.25/740.30 = 200.90/x
  3. Step 3: Cross multiply
    493.25x = 740.30 × 200.90
  4. Step 4: Simplify right side
    493.25x = 148,727.12
  5. Step 5: Solve for x
    x = 148,727.12/493.25
  6. Step 6: Final answer
    x = 301.53

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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.