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Finding the Fourth Proportional to 519.30, 774.99 and 457.74

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Solution

The fourth proportional to 519.30, 774.99 and 457.74 is: 683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.30 : 774.99 = 457.74 : x
  2. Step 2: Convert to fraction form
    519.30/774.99 = 457.74/x
  3. Step 3: Cross multiply
    519.30x = 774.99 × 457.74
  4. Step 4: Simplify right side
    519.30x = 354,743.92
  5. Step 5: Solve for x
    x = 354,743.92/519.30
  6. Step 6: Final answer
    x = 683.12

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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.