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Finding the Fourth Proportional to 593.22, 813.44 and 572.62

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Solution

The fourth proportional to 593.22, 813.44 and 572.62 is: 785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.22 : 813.44 = 572.62 : x
  2. Step 2: Convert to fraction form
    593.22/813.44 = 572.62/x
  3. Step 3: Cross multiply
    593.22x = 813.44 × 572.62
  4. Step 4: Simplify right side
    593.22x = 465,789.15
  5. Step 5: Solve for x
    x = 465,789.15/593.22
  6. Step 6: Final answer
    x = 785.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.