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Finding the Fourth Proportional to 597.57, 824.71 and 361.48

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Solution

The fourth proportional to 597.57, 824.71 and 361.48 is: 498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.57 : 824.71 = 361.48 : x
  2. Step 2: Convert to fraction form
    597.57/824.71 = 361.48/x
  3. Step 3: Cross multiply
    597.57x = 824.71 × 361.48
  4. Step 4: Simplify right side
    597.57x = 298,116.17
  5. Step 5: Solve for x
    x = 298,116.17/597.57
  6. Step 6: Final answer
    x = 498.88

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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.