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Finding the Fourth Proportional to 581.68, 871.91 and 273.75

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Solution

The fourth proportional to 581.68, 871.91 and 273.75 is: 410.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.68 : 871.91 = 273.75 : x
  2. Step 2: Convert to fraction form
    581.68/871.91 = 273.75/x
  3. Step 3: Cross multiply
    581.68x = 871.91 × 273.75
  4. Step 4: Simplify right side
    581.68x = 238,690.65
  5. Step 5: Solve for x
    x = 238,690.65/581.68
  6. Step 6: Final answer
    x = 410.35

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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.