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Finding the Fourth Proportional to 578.51, 867.89 and 193.75

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Solution

The fourth proportional to 578.51, 867.89 and 193.75 is: 290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.51 : 867.89 = 193.75 : x
  2. Step 2: Convert to fraction form
    578.51/867.89 = 193.75/x
  3. Step 3: Cross multiply
    578.51x = 867.89 × 193.75
  4. Step 4: Simplify right side
    578.51x = 168,152.72
  5. Step 5: Solve for x
    x = 168,152.72/578.51
  6. Step 6: Final answer
    x = 290.67

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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.