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Finding the Fourth Proportional to 511.13, 766.01 and 202.81

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Solution

The fourth proportional to 511.13, 766.01 and 202.81 is: 303.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.13 : 766.01 = 202.81 : x
  2. Step 2: Convert to fraction form
    511.13/766.01 = 202.81/x
  3. Step 3: Cross multiply
    511.13x = 766.01 × 202.81
  4. Step 4: Simplify right side
    511.13x = 155,352.57
  5. Step 5: Solve for x
    x = 155,352.57/511.13
  6. Step 6: Final answer
    x = 303.94

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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.