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Finding the Fourth Proportional to 945.50, 1,418.09 and 287.22

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Solution

The fourth proportional to 945.50, 1,418.09 and 287.22 is: 430.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.50 : 1,418.09 = 287.22 : x
  2. Step 2: Convert to fraction form
    945.50/1,418.09 = 287.22/x
  3. Step 3: Cross multiply
    945.50x = 1,418.09 × 287.22
  4. Step 4: Simplify right side
    945.50x = 407,296.72
  5. Step 5: Solve for x
    x = 407,296.72/945.50
  6. Step 6: Final answer
    x = 430.77

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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.