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Finding the Fourth Proportional to 597.08, 823.85 and 360.97

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Solution

The fourth proportional to 597.08, 823.85 and 360.97 is: 498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.08 : 823.85 = 360.97 : x
  2. Step 2: Convert to fraction form
    597.08/823.85 = 360.97/x
  3. Step 3: Cross multiply
    597.08x = 823.85 × 360.97
  4. Step 4: Simplify right side
    597.08x = 297,382.62
  5. Step 5: Solve for x
    x = 297,382.62/597.08
  6. Step 6: Final answer
    x = 498.06

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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.