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Finding the Fourth Proportional to 577.68, 797.24 and 344.76

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Solution

The fourth proportional to 577.68, 797.24 and 344.76 is: 475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.68 : 797.24 = 344.76 : x
  2. Step 2: Convert to fraction form
    577.68/797.24 = 344.76/x
  3. Step 3: Cross multiply
    577.68x = 797.24 × 344.76
  4. Step 4: Simplify right side
    577.68x = 274,856.46
  5. Step 5: Solve for x
    x = 274,856.46/577.68
  6. Step 6: Final answer
    x = 475.79

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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.