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Finding the Fourth Proportional to 347.65, 479.54 and 229.62

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Solution

The fourth proportional to 347.65, 479.54 and 229.62 is: 316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.65 : 479.54 = 229.62 : x
  2. Step 2: Convert to fraction form
    347.65/479.54 = 229.62/x
  3. Step 3: Cross multiply
    347.65x = 479.54 × 229.62
  4. Step 4: Simplify right side
    347.65x = 110,111.97
  5. Step 5: Solve for x
    x = 110,111.97/347.65
  6. Step 6: Final answer
    x = 316.74

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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.