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Finding the Fourth Proportional to 519.52, 716.96 and 298.54

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Solution

The fourth proportional to 519.52, 716.96 and 298.54 is: 412.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.52 : 716.96 = 298.54 : x
  2. Step 2: Convert to fraction form
    519.52/716.96 = 298.54/x
  3. Step 3: Cross multiply
    519.52x = 716.96 × 298.54
  4. Step 4: Simplify right side
    519.52x = 214,041.76
  5. Step 5: Solve for x
    x = 214,041.76/519.52
  6. Step 6: Final answer
    x = 412.00

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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.