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Finding the Fourth Proportional to 519.57, 716.95 and 295.50

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Solution

The fourth proportional to 519.57, 716.95 and 295.50 is: 407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.57 : 716.95 = 295.50 : x
  2. Step 2: Convert to fraction form
    519.57/716.95 = 295.50/x
  3. Step 3: Cross multiply
    519.57x = 716.95 × 295.50
  4. Step 4: Simplify right side
    519.57x = 211,857.99
  5. Step 5: Solve for x
    x = 211,857.99/519.57
  6. Step 6: Final answer
    x = 407.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.