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Finding the Fourth Proportional to 418.41, 577.67 and 287.60

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Solution

The fourth proportional to 418.41, 577.67 and 287.60 is: 397.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.41 : 577.67 = 287.60 : x
  2. Step 2: Convert to fraction form
    418.41/577.67 = 287.60/x
  3. Step 3: Cross multiply
    418.41x = 577.67 × 287.60
  4. Step 4: Simplify right side
    418.41x = 166,133.57
  5. Step 5: Solve for x
    x = 166,133.57/418.41
  6. Step 6: Final answer
    x = 397.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.