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Finding the Fourth Proportional to 581.65, 872.21 and 273.25

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Solution

The fourth proportional to 581.65, 872.21 and 273.25 is: 409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.65 : 872.21 = 273.25 : x
  2. Step 2: Convert to fraction form
    581.65/872.21 = 273.25/x
  3. Step 3: Cross multiply
    581.65x = 872.21 × 273.25
  4. Step 4: Simplify right side
    581.65x = 238,330.02
  5. Step 5: Solve for x
    x = 238,330.02/581.65
  6. Step 6: Final answer
    x = 409.75

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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.