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Finding the Fourth Proportional to 578.25, 867.49 and 289.69

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Solution

The fourth proportional to 578.25, 867.49 and 289.69 is: 434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.25 : 867.49 = 289.69 : x
  2. Step 2: Convert to fraction form
    578.25/867.49 = 289.69/x
  3. Step 3: Cross multiply
    578.25x = 867.49 × 289.69
  4. Step 4: Simplify right side
    578.25x = 251,300.29
  5. Step 5: Solve for x
    x = 251,300.29/578.25
  6. Step 6: Final answer
    x = 434.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.