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Finding the Fourth Proportional to 631.69, 946.89 and 285.22

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Solution

The fourth proportional to 631.69, 946.89 and 285.22 is: 427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.69 : 946.89 = 285.22 : x
  2. Step 2: Convert to fraction form
    631.69/946.89 = 285.22/x
  3. Step 3: Cross multiply
    631.69x = 946.89 × 285.22
  4. Step 4: Simplify right side
    631.69x = 270,071.97
  5. Step 5: Solve for x
    x = 270,071.97/631.69
  6. Step 6: Final answer
    x = 427.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.