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Finding the Fourth Proportional to 597.29, 823.19 and 441.77

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Solution

The fourth proportional to 597.29, 823.19 and 441.77 is: 608.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.29 : 823.19 = 441.77 : x
  2. Step 2: Convert to fraction form
    597.29/823.19 = 441.77/x
  3. Step 3: Cross multiply
    597.29x = 823.19 × 441.77
  4. Step 4: Simplify right side
    597.29x = 363,658.44
  5. Step 5: Solve for x
    x = 363,658.44/597.29
  6. Step 6: Final answer
    x = 608.85

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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.