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Finding the Fourth Proportional to 459.27, 633.49 and 293.42

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Solution

The fourth proportional to 459.27, 633.49 and 293.42 is: 404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.27 : 633.49 = 293.42 : x
  2. Step 2: Convert to fraction form
    459.27/633.49 = 293.42/x
  3. Step 3: Cross multiply
    459.27x = 633.49 × 293.42
  4. Step 4: Simplify right side
    459.27x = 185,878.64
  5. Step 5: Solve for x
    x = 185,878.64/459.27
  6. Step 6: Final answer
    x = 404.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.