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Finding the Fourth Proportional to 596.25, 893.31 and 364.59

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Solution

The fourth proportional to 596.25, 893.31 and 364.59 is: 546.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.25 : 893.31 = 364.59 : x
  2. Step 2: Convert to fraction form
    596.25/893.31 = 364.59/x
  3. Step 3: Cross multiply
    596.25x = 893.31 × 364.59
  4. Step 4: Simplify right side
    596.25x = 325,691.89
  5. Step 5: Solve for x
    x = 325,691.89/596.25
  6. Step 6: Final answer
    x = 546.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.