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Finding the Fourth Proportional to 519.75, 716.96 and 342.53

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Solution

The fourth proportional to 519.75, 716.96 and 342.53 is: 472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.75 : 716.96 = 342.53 : x
  2. Step 2: Convert to fraction form
    519.75/716.96 = 342.53/x
  3. Step 3: Cross multiply
    519.75x = 716.96 × 342.53
  4. Step 4: Simplify right side
    519.75x = 245,580.27
  5. Step 5: Solve for x
    x = 245,580.27/519.75
  6. Step 6: Final answer
    x = 472.50

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Why These Related Problems?

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