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Finding the Fourth Proportional to 438.71, 605.41 and 242.22

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Solution

The fourth proportional to 438.71, 605.41 and 242.22 is: 334.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.71 : 605.41 = 242.22 : x
  2. Step 2: Convert to fraction form
    438.71/605.41 = 242.22/x
  3. Step 3: Cross multiply
    438.71x = 605.41 × 242.22
  4. Step 4: Simplify right side
    438.71x = 146,639.53
  5. Step 5: Solve for x
    x = 146,639.53/438.71
  6. Step 6: Final answer
    x = 334.25

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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.