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Finding the Fourth Proportional to 593.94, 891.29 and 320.22

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Solution

The fourth proportional to 593.94, 891.29 and 320.22 is: 480.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.94 : 891.29 = 320.22 : x
  2. Step 2: Convert to fraction form
    593.94/891.29 = 320.22/x
  3. Step 3: Cross multiply
    593.94x = 891.29 × 320.22
  4. Step 4: Simplify right side
    593.94x = 285,406.21
  5. Step 5: Solve for x
    x = 285,406.21/593.94
  6. Step 6: Final answer
    x = 480.53

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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.