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Finding the Fourth Proportional to 816.55, 1,224.45 and 296.48

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Solution

The fourth proportional to 816.55, 1,224.45 and 296.48 is: 444.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.55 : 1,224.45 = 296.48 : x
  2. Step 2: Convert to fraction form
    816.55/1,224.45 = 296.48/x
  3. Step 3: Cross multiply
    816.55x = 1,224.45 × 296.48
  4. Step 4: Simplify right side
    816.55x = 363,028.00
  5. Step 5: Solve for x
    x = 363,028.00/816.55
  6. Step 6: Final answer
    x = 444.59

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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.