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Finding the Fourth Proportional to 459.86, 633.87 and 320.14

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Solution

The fourth proportional to 459.86, 633.87 and 320.14 is: 441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.86 : 633.87 = 320.14 : x
  2. Step 2: Convert to fraction form
    459.86/633.87 = 320.14/x
  3. Step 3: Cross multiply
    459.86x = 633.87 × 320.14
  4. Step 4: Simplify right side
    459.86x = 202,923.97
  5. Step 5: Solve for x
    x = 202,923.97/459.86
  6. Step 6: Final answer
    x = 441.27

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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.