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Finding the Fourth Proportional to 577.12, 796.48 and 477.52

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Solution

The fourth proportional to 577.12, 796.48 and 477.52 is: 659.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.12 : 796.48 = 477.52 : x
  2. Step 2: Convert to fraction form
    577.12/796.48 = 477.52/x
  3. Step 3: Cross multiply
    577.12x = 796.48 × 477.52
  4. Step 4: Simplify right side
    577.12x = 380,335.13
  5. Step 5: Solve for x
    x = 380,335.13/577.12
  6. Step 6: Final answer
    x = 659.02

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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.