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Finding the Fourth Proportional to 598, 824.96 and 423.44

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Solution

The fourth proportional to 598, 824.96 and 423.44 is: 584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    598 : 824.96 = 423.44 : x
  2. Step 2: Convert to fraction form
    598/824.96 = 423.44/x
  3. Step 3: Cross multiply
    598x = 824.96 × 423.44
  4. Step 4: Simplify right side
    598x = 349,321.06
  5. Step 5: Solve for x
    x = 349,321.06/598
  6. Step 6: Final answer
    x = 584.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.