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Finding the Fourth Proportional to 597.84, 896.85 and 227.63

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Solution

The fourth proportional to 597.84, 896.85 and 227.63 is: 341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.84 : 896.85 = 227.63 : x
  2. Step 2: Convert to fraction form
    597.84/896.85 = 227.63/x
  3. Step 3: Cross multiply
    597.84x = 896.85 × 227.63
  4. Step 4: Simplify right side
    597.84x = 204,145.48
  5. Step 5: Solve for x
    x = 204,145.48/597.84
  6. Step 6: Final answer
    x = 341.47

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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.