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Finding the Fourth Proportional to 451.75, 623.29 and 304.13

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Solution

The fourth proportional to 451.75, 623.29 and 304.13 is: 419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.75 : 623.29 = 304.13 : x
  2. Step 2: Convert to fraction form
    451.75/623.29 = 304.13/x
  3. Step 3: Cross multiply
    451.75x = 623.29 × 304.13
  4. Step 4: Simplify right side
    451.75x = 189,561.19
  5. Step 5: Solve for x
    x = 189,561.19/451.75
  6. Step 6: Final answer
    x = 419.62

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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.