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Finding the Fourth Proportional to 593.48, 823.20 and 573.80

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Solution

The fourth proportional to 593.48, 823.20 and 573.80 is: 795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.48 : 823.20 = 573.80 : x
  2. Step 2: Convert to fraction form
    593.48/823.20 = 573.80/x
  3. Step 3: Cross multiply
    593.48x = 823.20 × 573.80
  4. Step 4: Simplify right side
    593.48x = 472,352.16
  5. Step 5: Solve for x
    x = 472,352.16/593.48
  6. Step 6: Final answer
    x = 795.90

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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.