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Finding the Fourth Proportional to 448.94, 619.58 and 274.39

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Solution

The fourth proportional to 448.94, 619.58 and 274.39 is: 378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.94 : 619.58 = 274.39 : x
  2. Step 2: Convert to fraction form
    448.94/619.58 = 274.39/x
  3. Step 3: Cross multiply
    448.94x = 619.58 × 274.39
  4. Step 4: Simplify right side
    448.94x = 170,006.56
  5. Step 5: Solve for x
    x = 170,006.56/448.94
  6. Step 6: Final answer
    x = 378.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.