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Finding the Fourth Proportional to 519.10, 716.34 and 298.06

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Solution

The fourth proportional to 519.10, 716.34 and 298.06 is: 411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.10 : 716.34 = 298.06 : x
  2. Step 2: Convert to fraction form
    519.10/716.34 = 298.06/x
  3. Step 3: Cross multiply
    519.10x = 716.34 × 298.06
  4. Step 4: Simplify right side
    519.10x = 213,512.30
  5. Step 5: Solve for x
    x = 213,512.30/519.10
  6. Step 6: Final answer
    x = 411.31

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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.