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Finding the Fourth Proportional to 593.42, 889.52 and 361.69

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Solution

The fourth proportional to 593.42, 889.52 and 361.69 is: 542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.42 : 889.52 = 361.69 : x
  2. Step 2: Convert to fraction form
    593.42/889.52 = 361.69/x
  3. Step 3: Cross multiply
    593.42x = 889.52 × 361.69
  4. Step 4: Simplify right side
    593.42x = 321,726.46
  5. Step 5: Solve for x
    x = 321,726.46/593.42
  6. Step 6: Final answer
    x = 542.16

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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.