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Finding the Fourth Proportional to 451.69, 623.29 and 255.21

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Solution

The fourth proportional to 451.69, 623.29 and 255.21 is: 352.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.69 : 623.29 = 255.21 : x
  2. Step 2: Convert to fraction form
    451.69/623.29 = 255.21/x
  3. Step 3: Cross multiply
    451.69x = 623.29 × 255.21
  4. Step 4: Simplify right side
    451.69x = 159,069.84
  5. Step 5: Solve for x
    x = 159,069.84/451.69
  6. Step 6: Final answer
    x = 352.17

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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.