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Finding the Fourth Proportional to 523.08, 721.68 and 418.12

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Solution

The fourth proportional to 523.08, 721.68 and 418.12 is: 576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.08 : 721.68 = 418.12 : x
  2. Step 2: Convert to fraction form
    523.08/721.68 = 418.12/x
  3. Step 3: Cross multiply
    523.08x = 721.68 × 418.12
  4. Step 4: Simplify right side
    523.08x = 301,748.84
  5. Step 5: Solve for x
    x = 301,748.84/523.08
  6. Step 6: Final answer
    x = 576.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.