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Finding the Fourth Proportional to 448.76, 619.37 and 274.20

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Solution

The fourth proportional to 448.76, 619.37 and 274.20 is: 378.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.76 : 619.37 = 274.20 : x
  2. Step 2: Convert to fraction form
    448.76/619.37 = 274.20/x
  3. Step 3: Cross multiply
    448.76x = 619.37 × 274.20
  4. Step 4: Simplify right side
    448.76x = 169,829.88
  5. Step 5: Solve for x
    x = 169,829.88/448.76
  6. Step 6: Final answer
    x = 378.45

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