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Finding the Fourth Proportional to 467.87, 702.50 and 262.85

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Solution

The fourth proportional to 467.87, 702.50 and 262.85 is: 394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.87 : 702.50 = 262.85 : x
  2. Step 2: Convert to fraction form
    467.87/702.50 = 262.85/x
  3. Step 3: Cross multiply
    467.87x = 702.50 × 262.85
  4. Step 4: Simplify right side
    467.87x = 184,647.30
  5. Step 5: Solve for x
    x = 184,647.30/467.87
  6. Step 6: Final answer
    x = 394.66

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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.