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Finding the Fourth Proportional to 519.64, 717.00 and 333.14

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Solution

The fourth proportional to 519.64, 717.00 and 333.14 is: 459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.64 : 717.00 = 333.14 : x
  2. Step 2: Convert to fraction form
    519.64/717.00 = 333.14/x
  3. Step 3: Cross multiply
    519.64x = 717.00 × 333.14
  4. Step 4: Simplify right side
    519.64x = 238,860.44
  5. Step 5: Solve for x
    x = 238,860.44/519.64
  6. Step 6: Final answer
    x = 459.66

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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.