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Finding the Fourth Proportional to 593.21, 889.81 and 268.19

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Solution

The fourth proportional to 593.21, 889.81 and 268.19 is: 402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.21 : 889.81 = 268.19 : x
  2. Step 2: Convert to fraction form
    593.21/889.81 = 268.19/x
  3. Step 3: Cross multiply
    593.21x = 889.81 × 268.19
  4. Step 4: Simplify right side
    593.21x = 238,639.70
  5. Step 5: Solve for x
    x = 238,639.70/593.21
  6. Step 6: Final answer
    x = 402.29

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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.