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Finding the Fourth Proportional to 596.07, 893.80 and 205.93

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Solution

The fourth proportional to 596.07, 893.80 and 205.93 is: 308.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.07 : 893.80 = 205.93 : x
  2. Step 2: Convert to fraction form
    596.07/893.80 = 205.93/x
  3. Step 3: Cross multiply
    596.07x = 893.80 × 205.93
  4. Step 4: Simplify right side
    596.07x = 184,060.23
  5. Step 5: Solve for x
    x = 184,060.23/596.07
  6. Step 6: Final answer
    x = 308.79

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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.