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Finding the Fourth Proportional to 511.80, 766.51 and 305.91

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Solution

The fourth proportional to 511.80, 766.51 and 305.91 is: 458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.80 : 766.51 = 305.91 : x
  2. Step 2: Convert to fraction form
    511.80/766.51 = 305.91/x
  3. Step 3: Cross multiply
    511.80x = 766.51 × 305.91
  4. Step 4: Simplify right side
    511.80x = 234,484.03
  5. Step 5: Solve for x
    x = 234,484.03/511.80
  6. Step 6: Final answer
    x = 458.15

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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.