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Finding the Fourth Proportional to 459.24, 633.09 and 366.27

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Solution

The fourth proportional to 459.24, 633.09 and 366.27 is: 504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.24 : 633.09 = 366.27 : x
  2. Step 2: Convert to fraction form
    459.24/633.09 = 366.27/x
  3. Step 3: Cross multiply
    459.24x = 633.09 × 366.27
  4. Step 4: Simplify right side
    459.24x = 231,881.87
  5. Step 5: Solve for x
    x = 231,881.87/459.24
  6. Step 6: Final answer
    x = 504.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.