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Finding the Fourth Proportional to 610.29, 845.53 and 597.33

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Solution

The fourth proportional to 610.29, 845.53 and 597.33 is: 827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.29 : 845.53 = 597.33 : x
  2. Step 2: Convert to fraction form
    610.29/845.53 = 597.33/x
  3. Step 3: Cross multiply
    610.29x = 845.53 × 597.33
  4. Step 4: Simplify right side
    610.29x = 505,058.94
  5. Step 5: Solve for x
    x = 505,058.94/610.29
  6. Step 6: Final answer
    x = 827.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.