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Finding the Fourth Proportional to 511.17, 706.05 and 449.19

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Solution

The fourth proportional to 511.17, 706.05 and 449.19 is: 620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.17 : 706.05 = 449.19 : x
  2. Step 2: Convert to fraction form
    511.17/706.05 = 449.19/x
  3. Step 3: Cross multiply
    511.17x = 706.05 × 449.19
  4. Step 4: Simplify right side
    511.17x = 317,150.60
  5. Step 5: Solve for x
    x = 317,150.60/511.17
  6. Step 6: Final answer
    x = 620.44

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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.