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Finding the Fourth Proportional to 597.80, 824.84 and 361.70

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Solution

The fourth proportional to 597.80, 824.84 and 361.70 is: 499.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.80 : 824.84 = 361.70 : x
  2. Step 2: Convert to fraction form
    597.80/824.84 = 361.70/x
  3. Step 3: Cross multiply
    597.80x = 824.84 × 361.70
  4. Step 4: Simplify right side
    597.80x = 298,344.63
  5. Step 5: Solve for x
    x = 298,344.63/597.80
  6. Step 6: Final answer
    x = 499.07

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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.