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Finding the Fourth Proportional to 511.10, 705.03 and 324.26

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Solution

The fourth proportional to 511.10, 705.03 and 324.26 is: 447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.10 : 705.03 = 324.26 : x
  2. Step 2: Convert to fraction form
    511.10/705.03 = 324.26/x
  3. Step 3: Cross multiply
    511.10x = 705.03 × 324.26
  4. Step 4: Simplify right side
    511.10x = 228,613.03
  5. Step 5: Solve for x
    x = 228,613.03/511.10
  6. Step 6: Final answer
    x = 447.30

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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.