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Finding the Fourth Proportional to 593.84, 892.38 and 490.16

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Solution

The fourth proportional to 593.84, 892.38 and 490.16 is: 736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.84 : 892.38 = 490.16 : x
  2. Step 2: Convert to fraction form
    593.84/892.38 = 490.16/x
  3. Step 3: Cross multiply
    593.84x = 892.38 × 490.16
  4. Step 4: Simplify right side
    593.84x = 437,408.98
  5. Step 5: Solve for x
    x = 437,408.98/593.84
  6. Step 6: Final answer
    x = 736.58

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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.