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Finding the Fourth Proportional to 519.32, 716.66 and 283.27

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Solution

The fourth proportional to 519.32, 716.66 and 283.27 is: 390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.32 : 716.66 = 283.27 : x
  2. Step 2: Convert to fraction form
    519.32/716.66 = 283.27/x
  3. Step 3: Cross multiply
    519.32x = 716.66 × 283.27
  4. Step 4: Simplify right side
    519.32x = 203,007.19
  5. Step 5: Solve for x
    x = 203,007.19/519.32
  6. Step 6: Final answer
    x = 390.91

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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.