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Finding the Fourth Proportional to 582.56, 873.21 and 274.22

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Solution

The fourth proportional to 582.56, 873.21 and 274.22 is: 411.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.56 : 873.21 = 274.22 : x
  2. Step 2: Convert to fraction form
    582.56/873.21 = 274.22/x
  3. Step 3: Cross multiply
    582.56x = 873.21 × 274.22
  4. Step 4: Simplify right side
    582.56x = 239,451.65
  5. Step 5: Solve for x
    x = 239,451.65/582.56
  6. Step 6: Final answer
    x = 411.03

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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.