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Finding the Fourth Proportional to 398.22, 599.68 and 347.46

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Solution

The fourth proportional to 398.22, 599.68 and 347.46 is: 523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.22 : 599.68 = 347.46 : x
  2. Step 2: Convert to fraction form
    398.22/599.68 = 347.46/x
  3. Step 3: Cross multiply
    398.22x = 599.68 × 347.46
  4. Step 4: Simplify right side
    398.22x = 208,367.08
  5. Step 5: Solve for x
    x = 208,367.08/398.22
  6. Step 6: Final answer
    x = 523.25

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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.