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Finding the Fourth Proportional to 595.78, 893.82 and 230.59

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Solution

The fourth proportional to 595.78, 893.82 and 230.59 is: 345.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.78 : 893.82 = 230.59 : x
  2. Step 2: Convert to fraction form
    595.78/893.82 = 230.59/x
  3. Step 3: Cross multiply
    595.78x = 893.82 × 230.59
  4. Step 4: Simplify right side
    595.78x = 206,105.95
  5. Step 5: Solve for x
    x = 206,105.95/595.78
  6. Step 6: Final answer
    x = 345.94

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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.