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Finding the Fourth Proportional to 578.43, 867.64 and 188.46

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Solution

The fourth proportional to 578.43, 867.64 and 188.46 is: 282.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.43 : 867.64 = 188.46 : x
  2. Step 2: Convert to fraction form
    578.43/867.64 = 188.46/x
  3. Step 3: Cross multiply
    578.43x = 867.64 × 188.46
  4. Step 4: Simplify right side
    578.43x = 163,515.43
  5. Step 5: Solve for x
    x = 163,515.43/578.43
  6. Step 6: Final answer
    x = 282.69

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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.