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Finding the Fourth Proportional to 523.14, 721.62 and 348.72

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Solution

The fourth proportional to 523.14, 721.62 and 348.72 is: 481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.14 : 721.62 = 348.72 : x
  2. Step 2: Convert to fraction form
    523.14/721.62 = 348.72/x
  3. Step 3: Cross multiply
    523.14x = 721.62 × 348.72
  4. Step 4: Simplify right side
    523.14x = 251,643.33
  5. Step 5: Solve for x
    x = 251,643.33/523.14
  6. Step 6: Final answer
    x = 481.02

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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.