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Finding the Fourth Proportional to 883.21, 1,324.95 and 290.05

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Solution

The fourth proportional to 883.21, 1,324.95 and 290.05 is: 435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.21 : 1,324.95 = 290.05 : x
  2. Step 2: Convert to fraction form
    883.21/1,324.95 = 290.05/x
  3. Step 3: Cross multiply
    883.21x = 1,324.95 × 290.05
  4. Step 4: Simplify right side
    883.21x = 384,301.75
  5. Step 5: Solve for x
    x = 384,301.75/883.21
  6. Step 6: Final answer
    x = 435.12

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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.