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Finding the Fourth Proportional to 519.62, 774.79 and 498.02

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Solution

The fourth proportional to 519.62, 774.79 and 498.02 is: 742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.62 : 774.79 = 498.02 : x
  2. Step 2: Convert to fraction form
    519.62/774.79 = 498.02/x
  3. Step 3: Cross multiply
    519.62x = 774.79 × 498.02
  4. Step 4: Simplify right side
    519.62x = 385,860.92
  5. Step 5: Solve for x
    x = 385,860.92/519.62
  6. Step 6: Final answer
    x = 742.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.