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Finding the Fourth Proportional to 459.24, 633.74 and 262.61

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Solution

The fourth proportional to 459.24, 633.74 and 262.61 is: 362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.24 : 633.74 = 262.61 : x
  2. Step 2: Convert to fraction form
    459.24/633.74 = 262.61/x
  3. Step 3: Cross multiply
    459.24x = 633.74 × 262.61
  4. Step 4: Simplify right side
    459.24x = 166,426.73
  5. Step 5: Solve for x
    x = 166,426.73/459.24
  6. Step 6: Final answer
    x = 362.40

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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.