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Finding the Fourth Proportional to 577.20, 796.56 and 430.32

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Solution

The fourth proportional to 577.20, 796.56 and 430.32 is: 593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.20 : 796.56 = 430.32 : x
  2. Step 2: Convert to fraction form
    577.20/796.56 = 430.32/x
  3. Step 3: Cross multiply
    577.20x = 796.56 × 430.32
  4. Step 4: Simplify right side
    577.20x = 342,775.70
  5. Step 5: Solve for x
    x = 342,775.70/577.20
  6. Step 6: Final answer
    x = 593.86

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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.