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Finding the Fourth Proportional to 577.75, 797.30 and 371.11

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Solution

The fourth proportional to 577.75, 797.30 and 371.11 is: 512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.75 : 797.30 = 371.11 : x
  2. Step 2: Convert to fraction form
    577.75/797.30 = 371.11/x
  3. Step 3: Cross multiply
    577.75x = 797.30 × 371.11
  4. Step 4: Simplify right side
    577.75x = 295,886.00
  5. Step 5: Solve for x
    x = 295,886.00/577.75
  6. Step 6: Final answer
    x = 512.14

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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.