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Finding the Fourth Proportional to 598.01, 824.97 and 361.80

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Solution

The fourth proportional to 598.01, 824.97 and 361.80 is: 499.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.01 : 824.97 = 361.80 : x
  2. Step 2: Convert to fraction form
    598.01/824.97 = 361.80/x
  3. Step 3: Cross multiply
    598.01x = 824.97 × 361.80
  4. Step 4: Simplify right side
    598.01x = 298,472.34
  5. Step 5: Solve for x
    x = 298,472.34/598.01
  6. Step 6: Final answer
    x = 499.11

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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.