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Finding the Fourth Proportional to 438.69, 605.16 and 264.09

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Solution

The fourth proportional to 438.69, 605.16 and 264.09 is: 364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.69 : 605.16 = 264.09 : x
  2. Step 2: Convert to fraction form
    438.69/605.16 = 264.09/x
  3. Step 3: Cross multiply
    438.69x = 605.16 × 264.09
  4. Step 4: Simplify right side
    438.69x = 159,816.70
  5. Step 5: Solve for x
    x = 159,816.70/438.69
  6. Step 6: Final answer
    x = 364.30

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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.