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Finding the Fourth Proportional to 578.40, 867.48 and 406.62

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Solution

The fourth proportional to 578.40, 867.48 and 406.62 is: 609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.40 : 867.48 = 406.62 : x
  2. Step 2: Convert to fraction form
    578.40/867.48 = 406.62/x
  3. Step 3: Cross multiply
    578.40x = 867.48 × 406.62
  4. Step 4: Simplify right side
    578.40x = 352,734.72
  5. Step 5: Solve for x
    x = 352,734.72/578.40
  6. Step 6: Final answer
    x = 609.85

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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.