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Finding the Fourth Proportional to 593.22, 889.77 and 208.47

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Solution

The fourth proportional to 593.22, 889.77 and 208.47 is: 312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.22 : 889.77 = 208.47 : x
  2. Step 2: Convert to fraction form
    593.22/889.77 = 208.47/x
  3. Step 3: Cross multiply
    593.22x = 889.77 × 208.47
  4. Step 4: Simplify right side
    593.22x = 185,490.35
  5. Step 5: Solve for x
    x = 185,490.35/593.22
  6. Step 6: Final answer
    x = 312.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.