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Finding the Fourth Proportional to 519.21, 778.41 and 302.94

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Solution

The fourth proportional to 519.21, 778.41 and 302.94 is: 454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.21 : 778.41 = 302.94 : x
  2. Step 2: Convert to fraction form
    519.21/778.41 = 302.94/x
  3. Step 3: Cross multiply
    519.21x = 778.41 × 302.94
  4. Step 4: Simplify right side
    519.21x = 235,811.53
  5. Step 5: Solve for x
    x = 235,811.53/519.21
  6. Step 6: Final answer
    x = 454.17

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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.