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Finding the Fourth Proportional to 597.08, 823.79 and 361.11

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Solution

The fourth proportional to 597.08, 823.79 and 361.11 is: 498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.08 : 823.79 = 361.11 : x
  2. Step 2: Convert to fraction form
    597.08/823.79 = 361.11/x
  3. Step 3: Cross multiply
    597.08x = 823.79 × 361.11
  4. Step 4: Simplify right side
    597.08x = 297,477.00
  5. Step 5: Solve for x
    x = 297,477.00/597.08
  6. Step 6: Final answer
    x = 498.22

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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.