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Finding the Fourth Proportional to 464.76, 638.75 and 451.80

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Solution

The fourth proportional to 464.76, 638.75 and 451.80 is: 620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.76 : 638.75 = 451.80 : x
  2. Step 2: Convert to fraction form
    464.76/638.75 = 451.80/x
  3. Step 3: Cross multiply
    464.76x = 638.75 × 451.80
  4. Step 4: Simplify right side
    464.76x = 288,584.99
  5. Step 5: Solve for x
    x = 288,584.99/464.76
  6. Step 6: Final answer
    x = 620.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.