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Finding the Fourth Proportional to 438.70, 605.36 and 252.25

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Solution

The fourth proportional to 438.70, 605.36 and 252.25 is: 348.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.70 : 605.36 = 252.25 : x
  2. Step 2: Convert to fraction form
    438.70/605.36 = 252.25/x
  3. Step 3: Cross multiply
    438.70x = 605.36 × 252.25
  4. Step 4: Simplify right side
    438.70x = 152,700.23
  5. Step 5: Solve for x
    x = 152,700.23/438.70
  6. Step 6: Final answer
    x = 348.08

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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.