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Finding the Fourth Proportional to 296.00, 445.74 and 219.51

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Solution

The fourth proportional to 296.00, 445.74 and 219.51 is: 330.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.00 : 445.74 = 219.51 : x
  2. Step 2: Convert to fraction form
    296.00/445.74 = 219.51/x
  3. Step 3: Cross multiply
    296.00x = 445.74 × 219.51
  4. Step 4: Simplify right side
    296.00x = 97,844.39
  5. Step 5: Solve for x
    x = 97,844.39/296.00
  6. Step 6: Final answer
    x = 330.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.