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Finding the Fourth Proportional to 519.46, 777.50 and 382.46

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Solution

The fourth proportional to 519.46, 777.50 and 382.46 is: 572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.46 : 777.50 = 382.46 : x
  2. Step 2: Convert to fraction form
    519.46/777.50 = 382.46/x
  3. Step 3: Cross multiply
    519.46x = 777.50 × 382.46
  4. Step 4: Simplify right side
    519.46x = 297,362.65
  5. Step 5: Solve for x
    x = 297,362.65/519.46
  6. Step 6: Final answer
    x = 572.45

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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.