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Finding the Fourth Proportional to 511.60, 762.86 and 466.80

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Solution

The fourth proportional to 511.60, 762.86 and 466.80 is: 696.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.60 : 762.86 = 466.80 : x
  2. Step 2: Convert to fraction form
    511.60/762.86 = 466.80/x
  3. Step 3: Cross multiply
    511.60x = 762.86 × 466.80
  4. Step 4: Simplify right side
    511.60x = 356,103.05
  5. Step 5: Solve for x
    x = 356,103.05/511.60
  6. Step 6: Final answer
    x = 696.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.