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Finding the Fourth Proportional to 448.62, 619.38 and 274.02

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Solution

The fourth proportional to 448.62, 619.38 and 274.02 is: 378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.62 : 619.38 = 274.02 : x
  2. Step 2: Convert to fraction form
    448.62/619.38 = 274.02/x
  3. Step 3: Cross multiply
    448.62x = 619.38 × 274.02
  4. Step 4: Simplify right side
    448.62x = 169,722.51
  5. Step 5: Solve for x
    x = 169,722.51/448.62
  6. Step 6: Final answer
    x = 378.32

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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.