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Finding the Fourth Proportional to 438.40, 605.04 and 263.84

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Solution

The fourth proportional to 438.40, 605.04 and 263.84 is: 364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.40 : 605.04 = 263.84 : x
  2. Step 2: Convert to fraction form
    438.40/605.04 = 263.84/x
  3. Step 3: Cross multiply
    438.40x = 605.04 × 263.84
  4. Step 4: Simplify right side
    438.40x = 159,633.75
  5. Step 5: Solve for x
    x = 159,633.75/438.40
  6. Step 6: Final answer
    x = 364.13

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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.