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Finding the Fourth Proportional to 347.24, 519.77 and 248.83

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Solution

The fourth proportional to 347.24, 519.77 and 248.83 is: 372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.24 : 519.77 = 248.83 : x
  2. Step 2: Convert to fraction form
    347.24/519.77 = 248.83/x
  3. Step 3: Cross multiply
    347.24x = 519.77 × 248.83
  4. Step 4: Simplify right side
    347.24x = 129,333.69
  5. Step 5: Solve for x
    x = 129,333.69/347.24
  6. Step 6: Final answer
    x = 372.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.