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Finding the Fourth Proportional to 398.37, 593.64 and 385.32

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Solution

The fourth proportional to 398.37, 593.64 and 385.32 is: 574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.37 : 593.64 = 385.32 : x
  2. Step 2: Convert to fraction form
    398.37/593.64 = 385.32/x
  3. Step 3: Cross multiply
    398.37x = 593.64 × 385.32
  4. Step 4: Simplify right side
    398.37x = 228,742.81
  5. Step 5: Solve for x
    x = 228,742.81/398.37
  6. Step 6: Final answer
    x = 574.20

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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.