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Finding the Fourth Proportional to 398.64, 593.76 and 377.64

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Solution

The fourth proportional to 398.64, 593.76 and 377.64 is: 562.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.64 : 593.76 = 377.64 : x
  2. Step 2: Convert to fraction form
    398.64/593.76 = 377.64/x
  3. Step 3: Cross multiply
    398.64x = 593.76 × 377.64
  4. Step 4: Simplify right side
    398.64x = 224,227.53
  5. Step 5: Solve for x
    x = 224,227.53/398.64
  6. Step 6: Final answer
    x = 562.48

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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.