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Finding the Fourth Proportional to 347.52, 479.12 and 288.29

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Solution

The fourth proportional to 347.52, 479.12 and 288.29 is: 397.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.52 : 479.12 = 288.29 : x
  2. Step 2: Convert to fraction form
    347.52/479.12 = 288.29/x
  3. Step 3: Cross multiply
    347.52x = 479.12 × 288.29
  4. Step 4: Simplify right side
    347.52x = 138,121.67
  5. Step 5: Solve for x
    x = 138,121.67/347.52
  6. Step 6: Final answer
    x = 397.45

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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.