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Finding the Fourth Proportional to 597.62, 824.58 and 361.51

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Solution

The fourth proportional to 597.62, 824.58 and 361.51 is: 498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.62 : 824.58 = 361.51 : x
  2. Step 2: Convert to fraction form
    597.62/824.58 = 361.51/x
  3. Step 3: Cross multiply
    597.62x = 824.58 × 361.51
  4. Step 4: Simplify right side
    597.62x = 298,091.85
  5. Step 5: Solve for x
    x = 298,091.85/597.62
  6. Step 6: Final answer
    x = 498.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.