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Finding the Fourth Proportional to 597.70, 824.70 and 361.57

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Solution

The fourth proportional to 597.70, 824.70 and 361.57 is: 498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.70 : 824.70 = 361.57 : x
  2. Step 2: Convert to fraction form
    597.70/824.70 = 361.57/x
  3. Step 3: Cross multiply
    597.70x = 824.70 × 361.57
  4. Step 4: Simplify right side
    597.70x = 298,186.78
  5. Step 5: Solve for x
    x = 298,186.78/597.70
  6. Step 6: Final answer
    x = 498.89

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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.