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Finding the Fourth Proportional to 519.33, 777.75 and 287.67

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Solution

The fourth proportional to 519.33, 777.75 and 287.67 is: 430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.33 : 777.75 = 287.67 : x
  2. Step 2: Convert to fraction form
    519.33/777.75 = 287.67/x
  3. Step 3: Cross multiply
    519.33x = 777.75 × 287.67
  4. Step 4: Simplify right side
    519.33x = 223,735.34
  5. Step 5: Solve for x
    x = 223,735.34/519.33
  6. Step 6: Final answer
    x = 430.82

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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.