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Finding the Fourth Proportional to 593.52, 823.26 and 577.68

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Solution

The fourth proportional to 593.52, 823.26 and 577.68 is: 801.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.52 : 823.26 = 577.68 : x
  2. Step 2: Convert to fraction form
    593.52/823.26 = 577.68/x
  3. Step 3: Cross multiply
    593.52x = 823.26 × 577.68
  4. Step 4: Simplify right side
    593.52x = 475,580.84
  5. Step 5: Solve for x
    x = 475,580.84/593.52
  6. Step 6: Final answer
    x = 801.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.