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Finding the Fourth Proportional to 523.05, 720.99 and 348.09

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Solution

The fourth proportional to 523.05, 720.99 and 348.09 is: 479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.05 : 720.99 = 348.09 : x
  2. Step 2: Convert to fraction form
    523.05/720.99 = 348.09/x
  3. Step 3: Cross multiply
    523.05x = 720.99 × 348.09
  4. Step 4: Simplify right side
    523.05x = 250,969.41
  5. Step 5: Solve for x
    x = 250,969.41/523.05
  6. Step 6: Final answer
    x = 479.82

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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.