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Finding the Fourth Proportional to 597.20, 896.45 and 423.14

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Solution

The fourth proportional to 597.20, 896.45 and 423.14 is: 635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.20 : 896.45 = 423.14 : x
  2. Step 2: Convert to fraction form
    597.20/896.45 = 423.14/x
  3. Step 3: Cross multiply
    597.20x = 896.45 × 423.14
  4. Step 4: Simplify right side
    597.20x = 379,317.26
  5. Step 5: Solve for x
    x = 379,317.26/597.20
  6. Step 6: Final answer
    x = 635.16

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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.