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Finding the Fourth Proportional to 519.58, 778.46 and 463.08

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Solution

The fourth proportional to 519.58, 778.46 and 463.08 is: 693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.58 : 778.46 = 463.08 : x
  2. Step 2: Convert to fraction form
    519.58/778.46 = 463.08/x
  3. Step 3: Cross multiply
    519.58x = 778.46 × 463.08
  4. Step 4: Simplify right side
    519.58x = 360,489.26
  5. Step 5: Solve for x
    x = 360,489.26/519.58
  6. Step 6: Final answer
    x = 693.81

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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.