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Finding the Fourth Proportional to 318.25, 438.78 and 252.64

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Solution

The fourth proportional to 318.25, 438.78 and 252.64 is: 348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.25 : 438.78 = 252.64 : x
  2. Step 2: Convert to fraction form
    318.25/438.78 = 252.64/x
  3. Step 3: Cross multiply
    318.25x = 438.78 × 252.64
  4. Step 4: Simplify right side
    318.25x = 110,853.38
  5. Step 5: Solve for x
    x = 110,853.38/318.25
  6. Step 6: Final answer
    x = 348.32

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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.