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Finding the Fourth Proportional to 438.81, 605.67 and 264.27

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Solution

The fourth proportional to 438.81, 605.67 and 264.27 is: 364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.81 : 605.67 = 264.27 : x
  2. Step 2: Convert to fraction form
    438.81/605.67 = 264.27/x
  3. Step 3: Cross multiply
    438.81x = 605.67 × 264.27
  4. Step 4: Simplify right side
    438.81x = 160,060.41
  5. Step 5: Solve for x
    x = 160,060.41/438.81
  6. Step 6: Final answer
    x = 364.76

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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.