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Finding the Fourth Proportional to 519.66, 716.94 and 298.58

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Solution

The fourth proportional to 519.66, 716.94 and 298.58 is: 411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.66 : 716.94 = 298.58 : x
  2. Step 2: Convert to fraction form
    519.66/716.94 = 298.58/x
  3. Step 3: Cross multiply
    519.66x = 716.94 × 298.58
  4. Step 4: Simplify right side
    519.66x = 214,063.95
  5. Step 5: Solve for x
    x = 214,063.95/519.66
  6. Step 6: Final answer
    x = 411.93

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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.