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Finding the Fourth Proportional to 595.78, 893.72 and 162.94

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Solution

The fourth proportional to 595.78, 893.72 and 162.94 is: 244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.78 : 893.72 = 162.94 : x
  2. Step 2: Convert to fraction form
    595.78/893.72 = 162.94/x
  3. Step 3: Cross multiply
    595.78x = 893.72 × 162.94
  4. Step 4: Simplify right side
    595.78x = 145,622.74
  5. Step 5: Solve for x
    x = 145,622.74/595.78
  6. Step 6: Final answer
    x = 244.42

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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.