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Finding the Fourth Proportional to 491.56, 737.33 and 199.04

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Solution

The fourth proportional to 491.56, 737.33 and 199.04 is: 298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.56 : 737.33 = 199.04 : x
  2. Step 2: Convert to fraction form
    491.56/737.33 = 199.04/x
  3. Step 3: Cross multiply
    491.56x = 737.33 × 199.04
  4. Step 4: Simplify right side
    491.56x = 146,753.48
  5. Step 5: Solve for x
    x = 146,753.48/491.56
  6. Step 6: Final answer
    x = 298.55

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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.