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Finding the Fourth Proportional to 508.90, 764.27 and 485.82

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Solution

The fourth proportional to 508.90, 764.27 and 485.82 is: 729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.90 : 764.27 = 485.82 : x
  2. Step 2: Convert to fraction form
    508.90/764.27 = 485.82/x
  3. Step 3: Cross multiply
    508.90x = 764.27 × 485.82
  4. Step 4: Simplify right side
    508.90x = 371,297.65
  5. Step 5: Solve for x
    x = 371,297.65/508.90
  6. Step 6: Final answer
    x = 729.61

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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.