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Finding the Fourth Proportional to 597.58, 824.48 and 361.61

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Solution

The fourth proportional to 597.58, 824.48 and 361.61 is: 498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.58 : 824.48 = 361.61 : x
  2. Step 2: Convert to fraction form
    597.58/824.48 = 361.61/x
  3. Step 3: Cross multiply
    597.58x = 824.48 × 361.61
  4. Step 4: Simplify right side
    597.58x = 298,138.40
  5. Step 5: Solve for x
    x = 298,138.40/597.58
  6. Step 6: Final answer
    x = 498.91

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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.