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Finding the Fourth Proportional to 578.46, 867.75 and 188.37

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Solution

The fourth proportional to 578.46, 867.75 and 188.37 is: 282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.46 : 867.75 = 188.37 : x
  2. Step 2: Convert to fraction form
    578.46/867.75 = 188.37/x
  3. Step 3: Cross multiply
    578.46x = 867.75 × 188.37
  4. Step 4: Simplify right side
    578.46x = 163,458.07
  5. Step 5: Solve for x
    x = 163,458.07/578.46
  6. Step 6: Final answer
    x = 282.57

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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.