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Finding the Fourth Proportional to 511.34, 766.49 and 202.77

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Solution

The fourth proportional to 511.34, 766.49 and 202.77 is: 303.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.34 : 766.49 = 202.77 : x
  2. Step 2: Convert to fraction form
    511.34/766.49 = 202.77/x
  3. Step 3: Cross multiply
    511.34x = 766.49 × 202.77
  4. Step 4: Simplify right side
    511.34x = 155,420.16
  5. Step 5: Solve for x
    x = 155,420.16/511.34
  6. Step 6: Final answer
    x = 303.95

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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.