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Finding the Fourth Proportional to 593.01, 889.73 and 264.18

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Solution

The fourth proportional to 593.01, 889.73 and 264.18 is: 396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.01 : 889.73 = 264.18 : x
  2. Step 2: Convert to fraction form
    593.01/889.73 = 264.18/x
  3. Step 3: Cross multiply
    593.01x = 889.73 × 264.18
  4. Step 4: Simplify right side
    593.01x = 235,048.87
  5. Step 5: Solve for x
    x = 235,048.87/593.01
  6. Step 6: Final answer
    x = 396.37

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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.