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Finding the Fourth Proportional to 397.05, 593.02 and 342.38

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Solution

The fourth proportional to 397.05, 593.02 and 342.38 is: 511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.05 : 593.02 = 342.38 : x
  2. Step 2: Convert to fraction form
    397.05/593.02 = 342.38/x
  3. Step 3: Cross multiply
    397.05x = 593.02 × 342.38
  4. Step 4: Simplify right side
    397.05x = 203,036.76
  5. Step 5: Solve for x
    x = 203,036.76/397.05
  6. Step 6: Final answer
    x = 511.36

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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.