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Finding the Fourth Proportional to 397.49, 593.71 and 386.55

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Solution

The fourth proportional to 397.49, 593.71 and 386.55 is: 577.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.49 : 593.71 = 386.55 : x
  2. Step 2: Convert to fraction form
    397.49/593.71 = 386.55/x
  3. Step 3: Cross multiply
    397.49x = 593.71 × 386.55
  4. Step 4: Simplify right side
    397.49x = 229,497.63
  5. Step 5: Solve for x
    x = 229,497.63/397.49
  6. Step 6: Final answer
    x = 577.37

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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.