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Finding the Fourth Proportional to 593.25, 890.02 and 268.53

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Solution

The fourth proportional to 593.25, 890.02 and 268.53 is: 402.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.25 : 890.02 = 268.53 : x
  2. Step 2: Convert to fraction form
    593.25/890.02 = 268.53/x
  3. Step 3: Cross multiply
    593.25x = 890.02 × 268.53
  4. Step 4: Simplify right side
    593.25x = 238,996.40
  5. Step 5: Solve for x
    x = 238,996.40/593.25
  6. Step 6: Final answer
    x = 402.86

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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.