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Finding the Fourth Proportional to 519.71, 778.64 and 463.21

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Solution

The fourth proportional to 519.71, 778.64 and 463.21 is: 693.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.71 : 778.64 = 463.21 : x
  2. Step 2: Convert to fraction form
    519.71/778.64 = 463.21/x
  3. Step 3: Cross multiply
    519.71x = 778.64 × 463.21
  4. Step 4: Simplify right side
    519.71x = 360,673.83
  5. Step 5: Solve for x
    x = 360,673.83/519.71
  6. Step 6: Final answer
    x = 693.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.