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Finding the Fourth Proportional to 514.92, 772.23 and 283.77

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Solution

The fourth proportional to 514.92, 772.23 and 283.77 is: 425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.92 : 772.23 = 283.77 : x
  2. Step 2: Convert to fraction form
    514.92/772.23 = 283.77/x
  3. Step 3: Cross multiply
    514.92x = 772.23 × 283.77
  4. Step 4: Simplify right side
    514.92x = 219,136.77
  5. Step 5: Solve for x
    x = 219,136.77/514.92
  6. Step 6: Final answer
    x = 425.57

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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.