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Finding the Fourth Proportional to 459.23, 688.78 and 151.09

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Solution

The fourth proportional to 459.23, 688.78 and 151.09 is: 226.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.23 : 688.78 = 151.09 : x
  2. Step 2: Convert to fraction form
    459.23/688.78 = 151.09/x
  3. Step 3: Cross multiply
    459.23x = 688.78 × 151.09
  4. Step 4: Simplify right side
    459.23x = 104,067.75
  5. Step 5: Solve for x
    x = 104,067.75/459.23
  6. Step 6: Final answer
    x = 226.61

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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.