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Finding the Fourth Proportional to 519.46, 777.17 and 356.65

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Solution

The fourth proportional to 519.46, 777.17 and 356.65 is: 533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.46 : 777.17 = 356.65 : x
  2. Step 2: Convert to fraction form
    519.46/777.17 = 356.65/x
  3. Step 3: Cross multiply
    519.46x = 777.17 × 356.65
  4. Step 4: Simplify right side
    519.46x = 277,175.90
  5. Step 5: Solve for x
    x = 277,175.90/519.46
  6. Step 6: Final answer
    x = 533.58

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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.