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Finding the Fourth Proportional to 581.63, 872.21 and 289.03

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Solution

The fourth proportional to 581.63, 872.21 and 289.03 is: 433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.63 : 872.21 = 289.03 : x
  2. Step 2: Convert to fraction form
    581.63/872.21 = 289.03/x
  3. Step 3: Cross multiply
    581.63x = 872.21 × 289.03
  4. Step 4: Simplify right side
    581.63x = 252,091.77
  5. Step 5: Solve for x
    x = 252,091.77/581.63
  6. Step 6: Final answer
    x = 433.42

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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.