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Finding the Fourth Proportional to 511.16, 766.76 and 305.87

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Solution

The fourth proportional to 511.16, 766.76 and 305.87 is: 458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.16 : 766.76 = 305.87 : x
  2. Step 2: Convert to fraction form
    511.16/766.76 = 305.87/x
  3. Step 3: Cross multiply
    511.16x = 766.76 × 305.87
  4. Step 4: Simplify right side
    511.16x = 234,528.88
  5. Step 5: Solve for x
    x = 234,528.88/511.16
  6. Step 6: Final answer
    x = 458.82

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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.