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Finding the Fourth Proportional to 593.28, 816.84 and 523.08

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Solution

The fourth proportional to 593.28, 816.84 and 523.08 is: 720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.28 : 816.84 = 523.08 : x
  2. Step 2: Convert to fraction form
    593.28/816.84 = 523.08/x
  3. Step 3: Cross multiply
    593.28x = 816.84 × 523.08
  4. Step 4: Simplify right side
    593.28x = 427,272.67
  5. Step 5: Solve for x
    x = 427,272.67/593.28
  6. Step 6: Final answer
    x = 720.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.