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Finding the Fourth Proportional to 459.41, 633.83 and 262.78

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Solution

The fourth proportional to 459.41, 633.83 and 262.78 is: 362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.41 : 633.83 = 262.78 : x
  2. Step 2: Convert to fraction form
    459.41/633.83 = 262.78/x
  3. Step 3: Cross multiply
    459.41x = 633.83 × 262.78
  4. Step 4: Simplify right side
    459.41x = 166,554.95
  5. Step 5: Solve for x
    x = 166,554.95/459.41
  6. Step 6: Final answer
    x = 362.54

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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.