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Finding the Fourth Proportional to 597.72, 896.64 and 268.74

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Solution

The fourth proportional to 597.72, 896.64 and 268.74 is: 403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.72 : 896.64 = 268.74 : x
  2. Step 2: Convert to fraction form
    597.72/896.64 = 268.74/x
  3. Step 3: Cross multiply
    597.72x = 896.64 × 268.74
  4. Step 4: Simplify right side
    597.72x = 240,963.03
  5. Step 5: Solve for x
    x = 240,963.03/597.72
  6. Step 6: Final answer
    x = 403.14

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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.