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Finding the Fourth Proportional to 398.32, 596.31 and 356.62

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Solution

The fourth proportional to 398.32, 596.31 and 356.62 is: 533.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.32 : 596.31 = 356.62 : x
  2. Step 2: Convert to fraction form
    398.32/596.31 = 356.62/x
  3. Step 3: Cross multiply
    398.32x = 596.31 × 356.62
  4. Step 4: Simplify right side
    398.32x = 212,656.07
  5. Step 5: Solve for x
    x = 212,656.07/398.32
  6. Step 6: Final answer
    x = 533.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.