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Finding the Fourth Proportional to 438.54, 605.24 and 252.06

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Solution

The fourth proportional to 438.54, 605.24 and 252.06 is: 347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.54 : 605.24 = 252.06 : x
  2. Step 2: Convert to fraction form
    438.54/605.24 = 252.06/x
  3. Step 3: Cross multiply
    438.54x = 605.24 × 252.06
  4. Step 4: Simplify right side
    438.54x = 152,556.79
  5. Step 5: Solve for x
    x = 152,556.79/438.54
  6. Step 6: Final answer
    x = 347.87

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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.