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Finding the Fourth Proportional to 597.40, 824.36 and 361.44

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Solution

The fourth proportional to 597.40, 824.36 and 361.44 is: 498.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.40 : 824.36 = 361.44 : x
  2. Step 2: Convert to fraction form
    597.40/824.36 = 361.44/x
  3. Step 3: Cross multiply
    597.40x = 824.36 × 361.44
  4. Step 4: Simplify right side
    597.40x = 297,956.68
  5. Step 5: Solve for x
    x = 297,956.68/597.40
  6. Step 6: Final answer
    x = 498.76

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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.