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Finding the Fourth Proportional to 597.29, 823.60 and 375.85

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Solution

The fourth proportional to 597.29, 823.60 and 375.85 is: 518.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.29 : 823.60 = 375.85 : x
  2. Step 2: Convert to fraction form
    597.29/823.60 = 375.85/x
  3. Step 3: Cross multiply
    597.29x = 823.60 × 375.85
  4. Step 4: Simplify right side
    597.29x = 309,551.56
  5. Step 5: Solve for x
    x = 309,551.56/597.29
  6. Step 6: Final answer
    x = 518.26

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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.