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Finding the Fourth Proportional to 448.89, 619.38 and 274.20

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Solution

The fourth proportional to 448.89, 619.38 and 274.20 is: 378.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.89 : 619.38 = 274.20 : x
  2. Step 2: Convert to fraction form
    448.89/619.38 = 274.20/x
  3. Step 3: Cross multiply
    448.89x = 619.38 × 274.20
  4. Step 4: Simplify right side
    448.89x = 169,834.00
  5. Step 5: Solve for x
    x = 169,834.00/448.89
  6. Step 6: Final answer
    x = 378.34

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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.