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Finding the Fourth Proportional to 511.01, 766.51 and 409.55

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Solution

The fourth proportional to 511.01, 766.51 and 409.55 is: 614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.01 : 766.51 = 409.55 : x
  2. Step 2: Convert to fraction form
    511.01/766.51 = 409.55/x
  3. Step 3: Cross multiply
    511.01x = 766.51 × 409.55
  4. Step 4: Simplify right side
    511.01x = 313,924.17
  5. Step 5: Solve for x
    x = 313,924.17/511.01
  6. Step 6: Final answer
    x = 614.32

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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.