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Finding the Fourth Proportional to 593.53, 890.60 and 264.57

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Solution

The fourth proportional to 593.53, 890.60 and 264.57 is: 396.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.53 : 890.60 = 264.57 : x
  2. Step 2: Convert to fraction form
    593.53/890.60 = 264.57/x
  3. Step 3: Cross multiply
    593.53x = 890.60 × 264.57
  4. Step 4: Simplify right side
    593.53x = 235,626.70
  5. Step 5: Solve for x
    x = 235,626.70/593.53
  6. Step 6: Final answer
    x = 396.99

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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.