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Finding the Fourth Proportional to 448.26, 671.97 and 242.52

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Solution

The fourth proportional to 448.26, 671.97 and 242.52 is: 363.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.26 : 671.97 = 242.52 : x
  2. Step 2: Convert to fraction form
    448.26/671.97 = 242.52/x
  3. Step 3: Cross multiply
    448.26x = 671.97 × 242.52
  4. Step 4: Simplify right side
    448.26x = 162,966.16
  5. Step 5: Solve for x
    x = 162,966.16/448.26
  6. Step 6: Final answer
    x = 363.55

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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.