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Finding the Fourth Proportional to 511.60, 767.62 and 396.02

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Solution

The fourth proportional to 511.60, 767.62 and 396.02 is: 594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.60 : 767.62 = 396.02 : x
  2. Step 2: Convert to fraction form
    511.60/767.62 = 396.02/x
  3. Step 3: Cross multiply
    511.60x = 767.62 × 396.02
  4. Step 4: Simplify right side
    511.60x = 303,992.87
  5. Step 5: Solve for x
    x = 303,992.87/511.60
  6. Step 6: Final answer
    x = 594.20

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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.