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Finding the Fourth Proportional to 438.81, 605.57 and 242.34

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Solution

The fourth proportional to 438.81, 605.57 and 242.34 is: 334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.81 : 605.57 = 242.34 : x
  2. Step 2: Convert to fraction form
    438.81/605.57 = 242.34/x
  3. Step 3: Cross multiply
    438.81x = 605.57 × 242.34
  4. Step 4: Simplify right side
    438.81x = 146,753.83
  5. Step 5: Solve for x
    x = 146,753.83/438.81
  6. Step 6: Final answer
    x = 334.44

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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.