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Finding the Fourth Proportional to 347.47, 479.54 and 229.48

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Solution

The fourth proportional to 347.47, 479.54 and 229.48 is: 316.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.47 : 479.54 = 229.48 : x
  2. Step 2: Convert to fraction form
    347.47/479.54 = 229.48/x
  3. Step 3: Cross multiply
    347.47x = 479.54 × 229.48
  4. Step 4: Simplify right side
    347.47x = 110,044.84
  5. Step 5: Solve for x
    x = 110,044.84/347.47
  6. Step 6: Final answer
    x = 316.70

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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.