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Finding the Fourth Proportional to 519.69, 716.94 and 354.06

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Solution

The fourth proportional to 519.69, 716.94 and 354.06 is: 488.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.69 : 716.94 = 354.06 : x
  2. Step 2: Convert to fraction form
    519.69/716.94 = 354.06/x
  3. Step 3: Cross multiply
    519.69x = 716.94 × 354.06
  4. Step 4: Simplify right side
    519.69x = 253,839.78
  5. Step 5: Solve for x
    x = 253,839.78/519.69
  6. Step 6: Final answer
    x = 488.44

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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.