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Finding the Fourth Proportional to 451.45, 623.09 and 285.89

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Solution

The fourth proportional to 451.45, 623.09 and 285.89 is: 394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.45 : 623.09 = 285.89 : x
  2. Step 2: Convert to fraction form
    451.45/623.09 = 285.89/x
  3. Step 3: Cross multiply
    451.45x = 623.09 × 285.89
  4. Step 4: Simplify right side
    451.45x = 178,132.80
  5. Step 5: Solve for x
    x = 178,132.80/451.45
  6. Step 6: Final answer
    x = 394.58

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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.