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Finding the Fourth Proportional to 965.14, 1,446.49 and 416.67

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Solution

The fourth proportional to 965.14, 1,446.49 and 416.67 is: 624.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.14 : 1,446.49 = 416.67 : x
  2. Step 2: Convert to fraction form
    965.14/1,446.49 = 416.67/x
  3. Step 3: Cross multiply
    965.14x = 1,446.49 × 416.67
  4. Step 4: Simplify right side
    965.14x = 602,708.99
  5. Step 5: Solve for x
    x = 602,708.99/965.14
  6. Step 6: Final answer
    x = 624.48

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Why These Related Problems?

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