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Finding the Fourth Proportional to 511.68, 766.53 and 306.41

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Solution

The fourth proportional to 511.68, 766.53 and 306.41 is: 459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.68 : 766.53 = 306.41 : x
  2. Step 2: Convert to fraction form
    511.68/766.53 = 306.41/x
  3. Step 3: Cross multiply
    511.68x = 766.53 × 306.41
  4. Step 4: Simplify right side
    511.68x = 234,872.46
  5. Step 5: Solve for x
    x = 234,872.46/511.68
  6. Step 6: Final answer
    x = 459.02

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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.