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Finding the Fourth Proportional to 400.87, 597.37 and 387.82

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Solution

The fourth proportional to 400.87, 597.37 and 387.82 is: 577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.87 : 597.37 = 387.82 : x
  2. Step 2: Convert to fraction form
    400.87/597.37 = 387.82/x
  3. Step 3: Cross multiply
    400.87x = 597.37 × 387.82
  4. Step 4: Simplify right side
    400.87x = 231,672.03
  5. Step 5: Solve for x
    x = 231,672.03/400.87
  6. Step 6: Final answer
    x = 577.92

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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.