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Finding the Fourth Proportional to 459.37, 633.81 and 262.84

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Solution

The fourth proportional to 459.37, 633.81 and 262.84 is: 362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.37 : 633.81 = 262.84 : x
  2. Step 2: Convert to fraction form
    459.37/633.81 = 262.84/x
  3. Step 3: Cross multiply
    459.37x = 633.81 × 262.84
  4. Step 4: Simplify right side
    459.37x = 166,589.31
  5. Step 5: Solve for x
    x = 166,589.31/459.37
  6. Step 6: Final answer
    x = 362.65

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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.