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Finding the Fourth Proportional to 578.31, 867.87 and 335.31

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Solution

The fourth proportional to 578.31, 867.87 and 335.31 is: 503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.31 : 867.87 = 335.31 : x
  2. Step 2: Convert to fraction form
    578.31/867.87 = 335.31/x
  3. Step 3: Cross multiply
    578.31x = 867.87 × 335.31
  4. Step 4: Simplify right side
    578.31x = 291,005.49
  5. Step 5: Solve for x
    x = 291,005.49/578.31
  6. Step 6: Final answer
    x = 503.20

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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.