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Finding the Fourth Proportional to 578.71, 867.84 and 335.41

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Solution

The fourth proportional to 578.71, 867.84 and 335.41 is: 502.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.71 : 867.84 = 335.41 : x
  2. Step 2: Convert to fraction form
    578.71/867.84 = 335.41/x
  3. Step 3: Cross multiply
    578.71x = 867.84 × 335.41
  4. Step 4: Simplify right side
    578.71x = 291,080.54
  5. Step 5: Solve for x
    x = 291,080.54/578.71
  6. Step 6: Final answer
    x = 502.98

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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.