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Finding the Fourth Proportional to 577.28, 864.96 and 529.76

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Solution

The fourth proportional to 577.28, 864.96 and 529.76 is: 793.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.28 : 864.96 = 529.76 : x
  2. Step 2: Convert to fraction form
    577.28/864.96 = 529.76/x
  3. Step 3: Cross multiply
    577.28x = 864.96 × 529.76
  4. Step 4: Simplify right side
    577.28x = 458,221.21
  5. Step 5: Solve for x
    x = 458,221.21/577.28
  6. Step 6: Final answer
    x = 793.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.