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Finding the Fourth Proportional to 578.64, 867.90 and 188.62

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Solution

The fourth proportional to 578.64, 867.90 and 188.62 is: 282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.64 : 867.90 = 188.62 : x
  2. Step 2: Convert to fraction form
    578.64/867.90 = 188.62/x
  3. Step 3: Cross multiply
    578.64x = 867.90 × 188.62
  4. Step 4: Simplify right side
    578.64x = 163,703.30
  5. Step 5: Solve for x
    x = 163,703.30/578.64
  6. Step 6: Final answer
    x = 282.91

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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.