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Finding the Fourth Proportional to 593.76, 890.48 and 389.44

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Solution

The fourth proportional to 593.76, 890.48 and 389.44 is: 584.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.76 : 890.48 = 389.44 : x
  2. Step 2: Convert to fraction form
    593.76/890.48 = 389.44/x
  3. Step 3: Cross multiply
    593.76x = 890.48 × 389.44
  4. Step 4: Simplify right side
    593.76x = 346,788.53
  5. Step 5: Solve for x
    x = 346,788.53/593.76
  6. Step 6: Final answer
    x = 584.06

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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.