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Finding the Fourth Proportional to 519.42, 717.15 and 464.07

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Solution

The fourth proportional to 519.42, 717.15 and 464.07 is: 640.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.42 : 717.15 = 464.07 : x
  2. Step 2: Convert to fraction form
    519.42/717.15 = 464.07/x
  3. Step 3: Cross multiply
    519.42x = 717.15 × 464.07
  4. Step 4: Simplify right side
    519.42x = 332,807.80
  5. Step 5: Solve for x
    x = 332,807.80/519.42
  6. Step 6: Final answer
    x = 640.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.