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Finding the Fourth Proportional to 347.19, 523.22 and 330.72

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Solution

The fourth proportional to 347.19, 523.22 and 330.72 is: 498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.19 : 523.22 = 330.72 : x
  2. Step 2: Convert to fraction form
    347.19/523.22 = 330.72/x
  3. Step 3: Cross multiply
    347.19x = 523.22 × 330.72
  4. Step 4: Simplify right side
    347.19x = 173,037.66
  5. Step 5: Solve for x
    x = 173,037.66/347.19
  6. Step 6: Final answer
    x = 498.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.