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Finding the Fourth Proportional to 347.12, 478.82 and 229.10

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Solution

The fourth proportional to 347.12, 478.82 and 229.10 is: 316.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.12 : 478.82 = 229.10 : x
  2. Step 2: Convert to fraction form
    347.12/478.82 = 229.10/x
  3. Step 3: Cross multiply
    347.12x = 478.82 × 229.10
  4. Step 4: Simplify right side
    347.12x = 109,697.66
  5. Step 5: Solve for x
    x = 109,697.66/347.12
  6. Step 6: Final answer
    x = 316.02

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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.