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Finding the Fourth Proportional to 812.36, 1,218.53 and 292.28

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Solution

The fourth proportional to 812.36, 1,218.53 and 292.28 is: 438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.36 : 1,218.53 = 292.28 : x
  2. Step 2: Convert to fraction form
    812.36/1,218.53 = 292.28/x
  3. Step 3: Cross multiply
    812.36x = 1,218.53 × 292.28
  4. Step 4: Simplify right side
    812.36x = 356,146.59
  5. Step 5: Solve for x
    x = 356,146.59/812.36
  6. Step 6: Final answer
    x = 438.41

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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.