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Finding the Fourth Proportional to 347.13, 478.67 and 230.49

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Solution

The fourth proportional to 347.13, 478.67 and 230.49 is: 317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.13 : 478.67 = 230.49 : x
  2. Step 2: Convert to fraction form
    347.13/478.67 = 230.49/x
  3. Step 3: Cross multiply
    347.13x = 478.67 × 230.49
  4. Step 4: Simplify right side
    347.13x = 110,327.50
  5. Step 5: Solve for x
    x = 110,327.50/347.13
  6. Step 6: Final answer
    x = 317.83

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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.