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Finding the Fourth Proportional to 511.55, 766.37 and 302.70

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Solution

The fourth proportional to 511.55, 766.37 and 302.70 is: 453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.55 : 766.37 = 302.70 : x
  2. Step 2: Convert to fraction form
    511.55/766.37 = 302.70/x
  3. Step 3: Cross multiply
    511.55x = 766.37 × 302.70
  4. Step 4: Simplify right side
    511.55x = 231,978.69
  5. Step 5: Solve for x
    x = 231,978.69/511.55
  6. Step 6: Final answer
    x = 453.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.