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Finding the Fourth Proportional to 438.82, 605.58 and 264.22

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Solution

The fourth proportional to 438.82, 605.58 and 264.22 is: 364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.82 : 605.58 = 264.22 : x
  2. Step 2: Convert to fraction form
    438.82/605.58 = 264.22/x
  3. Step 3: Cross multiply
    438.82x = 605.58 × 264.22
  4. Step 4: Simplify right side
    438.82x = 160,006.35
  5. Step 5: Solve for x
    x = 160,006.35/438.82
  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.