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Finding the Fourth Proportional to 347.63, 479.75 and 229.71

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Solution

The fourth proportional to 347.63, 479.75 and 229.71 is: 317.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.63 : 479.75 = 229.71 : x
  2. Step 2: Convert to fraction form
    347.63/479.75 = 229.71/x
  3. Step 3: Cross multiply
    347.63x = 479.75 × 229.71
  4. Step 4: Simplify right side
    347.63x = 110,202.22
  5. Step 5: Solve for x
    x = 110,202.22/347.63
  6. Step 6: Final answer
    x = 317.01

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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.