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Finding the Fourth Proportional to 598.01, 824.90 and 349.29

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Solution

The fourth proportional to 598.01, 824.90 and 349.29 is: 481.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.01 : 824.90 = 349.29 : x
  2. Step 2: Convert to fraction form
    598.01/824.90 = 349.29/x
  3. Step 3: Cross multiply
    598.01x = 824.90 × 349.29
  4. Step 4: Simplify right side
    598.01x = 288,127.57
  5. Step 5: Solve for x
    x = 288,127.57/598.01
  6. Step 6: Final answer
    x = 481.81

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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.