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Finding the Fourth Proportional to 347.66, 479.90 and 264.97

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Solution

The fourth proportional to 347.66, 479.90 and 264.97 is: 365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.66 : 479.90 = 264.97 : x
  2. Step 2: Convert to fraction form
    347.66/479.90 = 264.97/x
  3. Step 3: Cross multiply
    347.66x = 479.90 × 264.97
  4. Step 4: Simplify right side
    347.66x = 127,158.57
  5. Step 5: Solve for x
    x = 127,158.57/347.66
  6. Step 6: Final answer
    x = 365.75

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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.