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Finding the Fourth Proportional to 398.69, 593.70 and 397.25

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Solution

The fourth proportional to 398.69, 593.70 and 397.25 is: 591.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.69 : 593.70 = 397.25 : x
  2. Step 2: Convert to fraction form
    398.69/593.70 = 397.25/x
  3. Step 3: Cross multiply
    398.69x = 593.70 × 397.25
  4. Step 4: Simplify right side
    398.69x = 235,848.32
  5. Step 5: Solve for x
    x = 235,848.32/398.69
  6. Step 6: Final answer
    x = 591.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.