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Finding the Fourth Proportional to 578.69, 868.10 and 335.28

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Solution

The fourth proportional to 578.69, 868.10 and 335.28 is: 502.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.69 : 868.10 = 335.28 : x
  2. Step 2: Convert to fraction form
    578.69/868.10 = 335.28/x
  3. Step 3: Cross multiply
    578.69x = 868.10 × 335.28
  4. Step 4: Simplify right side
    578.69x = 291,054.89
  5. Step 5: Solve for x
    x = 291,054.89/578.69
  6. Step 6: Final answer
    x = 502.96

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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.