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Finding the Fourth Proportional to 581.90, 873.41 and 273.96

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Solution

The fourth proportional to 581.90, 873.41 and 273.96 is: 411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.90 : 873.41 = 273.96 : x
  2. Step 2: Convert to fraction form
    581.90/873.41 = 273.96/x
  3. Step 3: Cross multiply
    581.90x = 873.41 × 273.96
  4. Step 4: Simplify right side
    581.90x = 239,278.03
  5. Step 5: Solve for x
    x = 239,278.03/581.90
  6. Step 6: Final answer
    x = 411.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.