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Finding the Fourth Proportional to 519.28, 773.75 and 461.84

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Solution

The fourth proportional to 519.28, 773.75 and 461.84 is: 688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.28 : 773.75 = 461.84 : x
  2. Step 2: Convert to fraction form
    519.28/773.75 = 461.84/x
  3. Step 3: Cross multiply
    519.28x = 773.75 × 461.84
  4. Step 4: Simplify right side
    519.28x = 357,345.99
  5. Step 5: Solve for x
    x = 357,345.99/519.28
  6. Step 6: Final answer
    x = 688.16

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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.