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Finding the Fourth Proportional to 438.93, 605.69 and 242.44

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Solution

The fourth proportional to 438.93, 605.69 and 242.44 is: 334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.93 : 605.69 = 242.44 : x
  2. Step 2: Convert to fraction form
    438.93/605.69 = 242.44/x
  3. Step 3: Cross multiply
    438.93x = 605.69 × 242.44
  4. Step 4: Simplify right side
    438.93x = 146,844.09
  5. Step 5: Solve for x
    x = 146,844.09/438.93
  6. Step 6: Final answer
    x = 334.55

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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.