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Finding the Fourth Proportional to 577.76, 796.72 and 514.54

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Solution

The fourth proportional to 577.76, 796.72 and 514.54 is: 709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.76 : 796.72 = 514.54 : x
  2. Step 2: Convert to fraction form
    577.76/796.72 = 514.54/x
  3. Step 3: Cross multiply
    577.76x = 796.72 × 514.54
  4. Step 4: Simplify right side
    577.76x = 409,944.31
  5. Step 5: Solve for x
    x = 409,944.31/577.76
  6. Step 6: Final answer
    x = 709.54

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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.