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Finding the Fourth Proportional to 519.49, 716.94 and 298.51

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Solution

The fourth proportional to 519.49, 716.94 and 298.51 is: 411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.49 : 716.94 = 298.51 : x
  2. Step 2: Convert to fraction form
    519.49/716.94 = 298.51/x
  3. Step 3: Cross multiply
    519.49x = 716.94 × 298.51
  4. Step 4: Simplify right side
    519.49x = 214,013.76
  5. Step 5: Solve for x
    x = 214,013.76/519.49
  6. Step 6: Final answer
    x = 411.97

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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.