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Finding the Fourth Proportional to 911, 1,364.96 and 448.16

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Solution

The fourth proportional to 911, 1,364.96 and 448.16 is: 671.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    911 : 1,364.96 = 448.16 : x
  2. Step 2: Convert to fraction form
    911/1,364.96 = 448.16/x
  3. Step 3: Cross multiply
    911x = 1,364.96 × 448.16
  4. Step 4: Simplify right side
    911x = 611,720.47
  5. Step 5: Solve for x
    x = 611,720.47/911
  6. Step 6: Final answer
    x = 671.48

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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.