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Finding the Fourth Proportional to 347.48, 517.85 and 327.48

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Solution

The fourth proportional to 347.48, 517.85 and 327.48 is: 488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.48 : 517.85 = 327.48 : x
  2. Step 2: Convert to fraction form
    347.48/517.85 = 327.48/x
  3. Step 3: Cross multiply
    347.48x = 517.85 × 327.48
  4. Step 4: Simplify right side
    347.48x = 169,583.88
  5. Step 5: Solve for x
    x = 169,583.88/347.48
  6. Step 6: Final answer
    x = 488.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.