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Finding the Fourth Proportional to 597.54, 896.14 and 423.69

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Solution

The fourth proportional to 597.54, 896.14 and 423.69 is: 635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.54 : 896.14 = 423.69 : x
  2. Step 2: Convert to fraction form
    597.54/896.14 = 423.69/x
  3. Step 3: Cross multiply
    597.54x = 896.14 × 423.69
  4. Step 4: Simplify right side
    597.54x = 379,684.05
  5. Step 5: Solve for x
    x = 379,684.05/597.54
  6. Step 6: Final answer
    x = 635.42

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Why These Related Problems?

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