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Finding the Fourth Proportional to 519.49, 717 and 298.59

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Solution

The fourth proportional to 519.49, 717 and 298.59 is: 412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.49 : 717 = 298.59 : x
  2. Step 2: Convert to fraction form
    519.49/717 = 298.59/x
  3. Step 3: Cross multiply
    519.49x = 717 × 298.59
  4. Step 4: Simplify right side
    519.49x = 214,089.03
  5. Step 5: Solve for x
    x = 214,089.03/519.49
  6. Step 6: Final answer
    x = 412.11

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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.