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Finding the Fourth Proportional to 514.83, 772.33 and 222.42

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Solution

The fourth proportional to 514.83, 772.33 and 222.42 is: 333.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.83 : 772.33 = 222.42 : x
  2. Step 2: Convert to fraction form
    514.83/772.33 = 222.42/x
  3. Step 3: Cross multiply
    514.83x = 772.33 × 222.42
  4. Step 4: Simplify right side
    514.83x = 171,779.02
  5. Step 5: Solve for x
    x = 171,779.02/514.83
  6. Step 6: Final answer
    x = 333.66

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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.