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Finding the Fourth Proportional to 467.75, 645.76 and 290.77

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Solution

The fourth proportional to 467.75, 645.76 and 290.77 is: 401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.75 : 645.76 = 290.77 : x
  2. Step 2: Convert to fraction form
    467.75/645.76 = 290.77/x
  3. Step 3: Cross multiply
    467.75x = 645.76 × 290.77
  4. Step 4: Simplify right side
    467.75x = 187,764.75
  5. Step 5: Solve for x
    x = 187,764.75/467.75
  6. Step 6: Final answer
    x = 401.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.