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Finding the Fourth Proportional to 565.96, 851.95 and 482.44

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Solution

The fourth proportional to 565.96, 851.95 and 482.44 is: 726.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.96 : 851.95 = 482.44 : x
  2. Step 2: Convert to fraction form
    565.96/851.95 = 482.44/x
  3. Step 3: Cross multiply
    565.96x = 851.95 × 482.44
  4. Step 4: Simplify right side
    565.96x = 411,014.76
  5. Step 5: Solve for x
    x = 411,014.76/565.96
  6. Step 6: Final answer
    x = 726.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.