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Finding the Fourth Proportional to 597.72, 825.24 and 431.68

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Solution

The fourth proportional to 597.72, 825.24 and 431.68 is: 596.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.72 : 825.24 = 431.68 : x
  2. Step 2: Convert to fraction form
    597.72/825.24 = 431.68/x
  3. Step 3: Cross multiply
    597.72x = 825.24 × 431.68
  4. Step 4: Simplify right side
    597.72x = 356,239.60
  5. Step 5: Solve for x
    x = 356,239.60/597.72
  6. Step 6: Final answer
    x = 596.00

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