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Finding the Fourth Proportional to 597.46, 824.34 and 361.54

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Solution

The fourth proportional to 597.46, 824.34 and 361.54 is: 498.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.46 : 824.34 = 361.54 : x
  2. Step 2: Convert to fraction form
    597.46/824.34 = 361.54/x
  3. Step 3: Cross multiply
    597.46x = 824.34 × 361.54
  4. Step 4: Simplify right side
    597.46x = 298,031.88
  5. Step 5: Solve for x
    x = 298,031.88/597.46
  6. Step 6: Final answer
    x = 498.83

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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.