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Finding the Fourth Proportional to 459.06, 688.87 and 199.13

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Solution

The fourth proportional to 459.06, 688.87 and 199.13 is: 298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.06 : 688.87 = 199.13 : x
  2. Step 2: Convert to fraction form
    459.06/688.87 = 199.13/x
  3. Step 3: Cross multiply
    459.06x = 688.87 × 199.13
  4. Step 4: Simplify right side
    459.06x = 137,174.68
  5. Step 5: Solve for x
    x = 137,174.68/459.06
  6. Step 6: Final answer
    x = 298.82

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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.