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Finding the Fourth Proportional to 459.24, 633.82 and 262.76

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Solution

The fourth proportional to 459.24, 633.82 and 262.76 is: 362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.24 : 633.82 = 262.76 : x
  2. Step 2: Convert to fraction form
    459.24/633.82 = 262.76/x
  3. Step 3: Cross multiply
    459.24x = 633.82 × 262.76
  4. Step 4: Simplify right side
    459.24x = 166,542.54
  5. Step 5: Solve for x
    x = 166,542.54/459.24
  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.