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Finding the Fourth Proportional to 438.96, 605.70 and 242.44

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Solution

The fourth proportional to 438.96, 605.70 and 242.44 is: 334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.96 : 605.70 = 242.44 : x
  2. Step 2: Convert to fraction form
    438.96/605.70 = 242.44/x
  3. Step 3: Cross multiply
    438.96x = 605.70 × 242.44
  4. Step 4: Simplify right side
    438.96x = 146,845.91
  5. Step 5: Solve for x
    x = 146,845.91/438.96
  6. Step 6: Final answer
    x = 334.53

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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.