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Finding the Fourth Proportional to 597.59, 824.42 and 361.55

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Solution

The fourth proportional to 597.59, 824.42 and 361.55 is: 498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.59 : 824.42 = 361.55 : x
  2. Step 2: Convert to fraction form
    597.59/824.42 = 361.55/x
  3. Step 3: Cross multiply
    597.59x = 824.42 × 361.55
  4. Step 4: Simplify right side
    597.59x = 298,065.83
  5. Step 5: Solve for x
    x = 298,065.83/597.59
  6. Step 6: Final answer
    x = 498.78

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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.