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Finding the Fourth Proportional to 597.27, 896.33 and 402.65

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Solution

The fourth proportional to 597.27, 896.33 and 402.65 is: 604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.27 : 896.33 = 402.65 : x
  2. Step 2: Convert to fraction form
    597.27/896.33 = 402.65/x
  3. Step 3: Cross multiply
    597.27x = 896.33 × 402.65
  4. Step 4: Simplify right side
    597.27x = 360,900.78
  5. Step 5: Solve for x
    x = 360,900.78/597.27
  6. Step 6: Final answer
    x = 604.25

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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.