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Finding the Fourth Proportional to 438.88, 605.66 and 264.22

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Solution

The fourth proportional to 438.88, 605.66 and 264.22 is: 364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.88 : 605.66 = 264.22 : x
  2. Step 2: Convert to fraction form
    438.88/605.66 = 264.22/x
  3. Step 3: Cross multiply
    438.88x = 605.66 × 264.22
  4. Step 4: Simplify right side
    438.88x = 160,027.49
  5. Step 5: Solve for x
    x = 160,027.49/438.88
  6. Step 6: Final answer
    x = 364.63

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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.