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Finding the Fourth Proportional to 491.65, 737.76 and 199.09

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Solution

The fourth proportional to 491.65, 737.76 and 199.09 is: 298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.65 : 737.76 = 199.09 : x
  2. Step 2: Convert to fraction form
    491.65/737.76 = 199.09/x
  3. Step 3: Cross multiply
    491.65x = 737.76 × 199.09
  4. Step 4: Simplify right side
    491.65x = 146,880.64
  5. Step 5: Solve for x
    x = 146,880.64/491.65
  6. Step 6: Final answer
    x = 298.75

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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.