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Finding the Fourth Proportional to 459.11, 633.72 and 262.76

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Solution

The fourth proportional to 459.11, 633.72 and 262.76 is: 362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.11 : 633.72 = 262.76 : x
  2. Step 2: Convert to fraction form
    459.11/633.72 = 262.76/x
  3. Step 3: Cross multiply
    459.11x = 633.72 × 262.76
  4. Step 4: Simplify right side
    459.11x = 166,511.78
  5. Step 5: Solve for x
    x = 166,511.78/459.11
  6. Step 6: Final answer
    x = 362.68

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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.