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Finding the Fourth Proportional to 577.24, 864.94 and 345.56

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Solution

The fourth proportional to 577.24, 864.94 and 345.56 is: 517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.24 : 864.94 = 345.56 : x
  2. Step 2: Convert to fraction form
    577.24/864.94 = 345.56/x
  3. Step 3: Cross multiply
    577.24x = 864.94 × 345.56
  4. Step 4: Simplify right side
    577.24x = 298,888.67
  5. Step 5: Solve for x
    x = 298,888.67/577.24
  6. Step 6: Final answer
    x = 517.79

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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.