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Finding the Fourth Proportional to 593.51, 890.21 and 268.90

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Solution

The fourth proportional to 593.51, 890.21 and 268.90 is: 403.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.51 : 890.21 = 268.90 : x
  2. Step 2: Convert to fraction form
    593.51/890.21 = 268.90/x
  3. Step 3: Cross multiply
    593.51x = 890.21 × 268.90
  4. Step 4: Simplify right side
    593.51x = 239,377.47
  5. Step 5: Solve for x
    x = 239,377.47/593.51
  6. Step 6: Final answer
    x = 403.33

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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.