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Finding the Fourth Proportional to 593.22, 889.77 and 429.46

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Solution

The fourth proportional to 593.22, 889.77 and 429.46 is: 644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.22 : 889.77 = 429.46 : x
  2. Step 2: Convert to fraction form
    593.22/889.77 = 429.46/x
  3. Step 3: Cross multiply
    593.22x = 889.77 × 429.46
  4. Step 4: Simplify right side
    593.22x = 382,120.62
  5. Step 5: Solve for x
    x = 382,120.62/593.22
  6. Step 6: Final answer
    x = 644.15

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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.