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Finding the Fourth Proportional to 438.66, 605.40 and 252.09

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Solution

The fourth proportional to 438.66, 605.40 and 252.09 is: 347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.66 : 605.40 = 252.09 : x
  2. Step 2: Convert to fraction form
    438.66/605.40 = 252.09/x
  3. Step 3: Cross multiply
    438.66x = 605.40 × 252.09
  4. Step 4: Simplify right side
    438.66x = 152,615.29
  5. Step 5: Solve for x
    x = 152,615.29/438.66
  6. Step 6: Final answer
    x = 347.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.