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Finding the Fourth Proportional to 417.97, 577.03 and 371.83

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Solution

The fourth proportional to 417.97, 577.03 and 371.83 is: 513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.97 : 577.03 = 371.83 : x
  2. Step 2: Convert to fraction form
    417.97/577.03 = 371.83/x
  3. Step 3: Cross multiply
    417.97x = 577.03 × 371.83
  4. Step 4: Simplify right side
    417.97x = 214,554.18
  5. Step 5: Solve for x
    x = 214,554.18/417.97
  6. Step 6: Final answer
    x = 513.33

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