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Finding the Fourth Proportional to 511.16, 768.44 and 409.55

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Solution

The fourth proportional to 511.16, 768.44 and 409.55 is: 615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.16 : 768.44 = 409.55 : x
  2. Step 2: Convert to fraction form
    511.16/768.44 = 409.55/x
  3. Step 3: Cross multiply
    511.16x = 768.44 × 409.55
  4. Step 4: Simplify right side
    511.16x = 314,708.71
  5. Step 5: Solve for x
    x = 314,708.71/511.16
  6. Step 6: Final answer
    x = 615.68

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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.