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Finding the Fourth Proportional to 565.35, 852.20 and 518.55

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Solution

The fourth proportional to 565.35, 852.20 and 518.55 is: 781.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.35 : 852.20 = 518.55 : x
  2. Step 2: Convert to fraction form
    565.35/852.20 = 518.55/x
  3. Step 3: Cross multiply
    565.35x = 852.20 × 518.55
  4. Step 4: Simplify right side
    565.35x = 441,909.61
  5. Step 5: Solve for x
    x = 441,909.61/565.35
  6. Step 6: Final answer
    x = 781.66

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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.