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Finding the Fourth Proportional to 597.27, 824.28 and 361.16

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Solution

The fourth proportional to 597.27, 824.28 and 361.16 is: 498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.27 : 824.28 = 361.16 : x
  2. Step 2: Convert to fraction form
    597.27/824.28 = 361.16/x
  3. Step 3: Cross multiply
    597.27x = 824.28 × 361.16
  4. Step 4: Simplify right side
    597.27x = 297,694.58
  5. Step 5: Solve for x
    x = 297,694.58/597.27
  6. Step 6: Final answer
    x = 498.42

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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.