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Finding the Fourth Proportional to 451.75, 623.18 and 285.68

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Solution

The fourth proportional to 451.75, 623.18 and 285.68 is: 394.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.75 : 623.18 = 285.68 : x
  2. Step 2: Convert to fraction form
    451.75/623.18 = 285.68/x
  3. Step 3: Cross multiply
    451.75x = 623.18 × 285.68
  4. Step 4: Simplify right side
    451.75x = 178,028.43
  5. Step 5: Solve for x
    x = 178,028.43/451.75
  6. Step 6: Final answer
    x = 394.08

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Why These Related Problems?

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