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Finding the Fourth Proportional to 599.08, 832.28 and 593.16

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Solution

The fourth proportional to 599.08, 832.28 and 593.16 is: 824.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.08 : 832.28 = 593.16 : x
  2. Step 2: Convert to fraction form
    599.08/832.28 = 593.16/x
  3. Step 3: Cross multiply
    599.08x = 832.28 × 593.16
  4. Step 4: Simplify right side
    599.08x = 493,675.20
  5. Step 5: Solve for x
    x = 493,675.20/599.08
  6. Step 6: Final answer
    x = 824.06

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.