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Finding the Fourth Proportional to 595.67, 893.49 and 205.95

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Solution

The fourth proportional to 595.67, 893.49 and 205.95 is: 308.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.67 : 893.49 = 205.95 : x
  2. Step 2: Convert to fraction form
    595.67/893.49 = 205.95/x
  3. Step 3: Cross multiply
    595.67x = 893.49 × 205.95
  4. Step 4: Simplify right side
    595.67x = 184,014.27
  5. Step 5: Solve for x
    x = 184,014.27/595.67
  6. Step 6: Final answer
    x = 308.92

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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.