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Finding the Fourth Proportional to 597.57, 824.74 and 361.54

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Solution

The fourth proportional to 597.57, 824.74 and 361.54 is: 498.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.57 : 824.74 = 361.54 : x
  2. Step 2: Convert to fraction form
    597.57/824.74 = 361.54/x
  3. Step 3: Cross multiply
    597.57x = 824.74 × 361.54
  4. Step 4: Simplify right side
    597.57x = 298,176.50
  5. Step 5: Solve for x
    x = 298,176.50/597.57
  6. Step 6: Final answer
    x = 498.98

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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.