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Finding the Fourth Proportional to 418.16, 576.93 and 252.30

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Solution

The fourth proportional to 418.16, 576.93 and 252.30 is: 348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.16 : 576.93 = 252.30 : x
  2. Step 2: Convert to fraction form
    418.16/576.93 = 252.30/x
  3. Step 3: Cross multiply
    418.16x = 576.93 × 252.30
  4. Step 4: Simplify right side
    418.16x = 145,559.44
  5. Step 5: Solve for x
    x = 145,559.44/418.16
  6. Step 6: Final answer
    x = 348.10

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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.