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Finding the Fourth Proportional to 593.07, 889.14 and 361.91

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Solution

The fourth proportional to 593.07, 889.14 and 361.91 is: 542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.07 : 889.14 = 361.91 : x
  2. Step 2: Convert to fraction form
    593.07/889.14 = 361.91/x
  3. Step 3: Cross multiply
    593.07x = 889.14 × 361.91
  4. Step 4: Simplify right side
    593.07x = 321,789.07
  5. Step 5: Solve for x
    x = 321,789.07/593.07
  6. Step 6: Final answer
    x = 542.59

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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.