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Finding the Fourth Proportional to 418.08, 576.80 and 234.08

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Solution

The fourth proportional to 418.08, 576.80 and 234.08 is: 322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.08 : 576.80 = 234.08 : x
  2. Step 2: Convert to fraction form
    418.08/576.80 = 234.08/x
  3. Step 3: Cross multiply
    418.08x = 576.80 × 234.08
  4. Step 4: Simplify right side
    418.08x = 135,017.34
  5. Step 5: Solve for x
    x = 135,017.34/418.08
  6. Step 6: Final answer
    x = 322.95

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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.