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Finding the Fourth Proportional to 448.26, 671.58 and 274.53

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Solution

The fourth proportional to 448.26, 671.58 and 274.53 is: 411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.26 : 671.58 = 274.53 : x
  2. Step 2: Convert to fraction form
    448.26/671.58 = 274.53/x
  3. Step 3: Cross multiply
    448.26x = 671.58 × 274.53
  4. Step 4: Simplify right side
    448.26x = 184,368.86
  5. Step 5: Solve for x
    x = 184,368.86/448.26
  6. Step 6: Final answer
    x = 411.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.