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Finding the Fourth Proportional to 596.25, 893.97 and 365.22

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Solution

The fourth proportional to 596.25, 893.97 and 365.22 is: 547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.25 : 893.97 = 365.22 : x
  2. Step 2: Convert to fraction form
    596.25/893.97 = 365.22/x
  3. Step 3: Cross multiply
    596.25x = 893.97 × 365.22
  4. Step 4: Simplify right side
    596.25x = 326,495.72
  5. Step 5: Solve for x
    x = 326,495.72/596.25
  6. Step 6: Final answer
    x = 547.58

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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.