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Finding the Fourth Proportional to 597.96, 896.12 and 451.59

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Solution

The fourth proportional to 597.96, 896.12 and 451.59 is: 676.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.96 : 896.12 = 451.59 : x
  2. Step 2: Convert to fraction form
    597.96/896.12 = 451.59/x
  3. Step 3: Cross multiply
    597.96x = 896.12 × 451.59
  4. Step 4: Simplify right side
    597.96x = 404,674.91
  5. Step 5: Solve for x
    x = 404,674.91/597.96
  6. Step 6: Final answer
    x = 676.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.