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Finding the Fourth Proportional to 593.45, 889.14 and 361.62

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Solution

The fourth proportional to 593.45, 889.14 and 361.62 is: 541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.45 : 889.14 = 361.62 : x
  2. Step 2: Convert to fraction form
    593.45/889.14 = 361.62/x
  3. Step 3: Cross multiply
    593.45x = 889.14 × 361.62
  4. Step 4: Simplify right side
    593.45x = 321,532.16
  5. Step 5: Solve for x
    x = 321,532.16/593.45
  6. Step 6: Final answer
    x = 541.80

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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.