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Finding the Fourth Proportional to 597.30, 823.92 and 361.08

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Solution

The fourth proportional to 597.30, 823.92 and 361.08 is: 498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.30 : 823.92 = 361.08 : x
  2. Step 2: Convert to fraction form
    597.30/823.92 = 361.08/x
  3. Step 3: Cross multiply
    597.30x = 823.92 × 361.08
  4. Step 4: Simplify right side
    597.30x = 297,501.03
  5. Step 5: Solve for x
    x = 297,501.03/597.30
  6. Step 6: Final answer
    x = 498.08

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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.