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Finding the Fourth Proportional to 347.26, 479.14 and 264.24

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Solution

The fourth proportional to 347.26, 479.14 and 264.24 is: 364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.26 : 479.14 = 264.24 : x
  2. Step 2: Convert to fraction form
    347.26/479.14 = 264.24/x
  3. Step 3: Cross multiply
    347.26x = 479.14 × 264.24
  4. Step 4: Simplify right side
    347.26x = 126,607.95
  5. Step 5: Solve for x
    x = 126,607.95/347.26
  6. Step 6: Final answer
    x = 364.59

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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.