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Finding the Fourth Proportional to 577.96, 868.44 and 334.66

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Solution

The fourth proportional to 577.96, 868.44 and 334.66 is: 502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.96 : 868.44 = 334.66 : x
  2. Step 2: Convert to fraction form
    577.96/868.44 = 334.66/x
  3. Step 3: Cross multiply
    577.96x = 868.44 × 334.66
  4. Step 4: Simplify right side
    577.96x = 290,632.13
  5. Step 5: Solve for x
    x = 290,632.13/577.96
  6. Step 6: Final answer
    x = 502.86

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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.