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Finding the Fourth Proportional to 578.29, 867.96 and 304.59

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Solution

The fourth proportional to 578.29, 867.96 and 304.59 is: 457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.29 : 867.96 = 304.59 : x
  2. Step 2: Convert to fraction form
    578.29/867.96 = 304.59/x
  3. Step 3: Cross multiply
    578.29x = 867.96 × 304.59
  4. Step 4: Simplify right side
    578.29x = 264,371.94
  5. Step 5: Solve for x
    x = 264,371.94/578.29
  6. Step 6: Final answer
    x = 457.16

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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.