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Finding the Fourth Proportional to 438.53, 605.23 and 263.91

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Solution

The fourth proportional to 438.53, 605.23 and 263.91 is: 364.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.53 : 605.23 = 263.91 : x
  2. Step 2: Convert to fraction form
    438.53/605.23 = 263.91/x
  3. Step 3: Cross multiply
    438.53x = 605.23 × 263.91
  4. Step 4: Simplify right side
    438.53x = 159,725.59
  5. Step 5: Solve for x
    x = 159,725.59/438.53
  6. Step 6: Final answer
    x = 364.23

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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.