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Finding the Fourth Proportional to 468.41, 703.22 and 360.27

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Solution

The fourth proportional to 468.41, 703.22 and 360.27 is: 540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.41 : 703.22 = 360.27 : x
  2. Step 2: Convert to fraction form
    468.41/703.22 = 360.27/x
  3. Step 3: Cross multiply
    468.41x = 703.22 × 360.27
  4. Step 4: Simplify right side
    468.41x = 253,347.27
  5. Step 5: Solve for x
    x = 253,347.27/468.41
  6. Step 6: Final answer
    x = 540.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.