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Finding the Fourth Proportional to 511.11, 766.76 and 464.74

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Solution

The fourth proportional to 511.11, 766.76 and 464.74 is: 697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.11 : 766.76 = 464.74 : x
  2. Step 2: Convert to fraction form
    511.11/766.76 = 464.74/x
  3. Step 3: Cross multiply
    511.11x = 766.76 × 464.74
  4. Step 4: Simplify right side
    511.11x = 356,344.04
  5. Step 5: Solve for x
    x = 356,344.04/511.11
  6. Step 6: Final answer
    x = 697.20

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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.