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Finding the Fourth Proportional to 523.11, 720.74 and 348.15

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Solution

The fourth proportional to 523.11, 720.74 and 348.15 is: 479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.11 : 720.74 = 348.15 : x
  2. Step 2: Convert to fraction form
    523.11/720.74 = 348.15/x
  3. Step 3: Cross multiply
    523.11x = 720.74 × 348.15
  4. Step 4: Simplify right side
    523.11x = 250,923.89
  5. Step 5: Solve for x
    x = 250,923.89/523.11
  6. Step 6: Final answer
    x = 479.68

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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.