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Finding the Fourth Proportional to 593.82, 820.55 and 565.37

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Solution

The fourth proportional to 593.82, 820.55 and 565.37 is: 781.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.82 : 820.55 = 565.37 : x
  2. Step 2: Convert to fraction form
    593.82/820.55 = 565.37/x
  3. Step 3: Cross multiply
    593.82x = 820.55 × 565.37
  4. Step 4: Simplify right side
    593.82x = 463,911.66
  5. Step 5: Solve for x
    x = 463,911.66/593.82
  6. Step 6: Final answer
    x = 781.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.