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Finding the Fourth Proportional to 583.36, 874.27 and 274.79

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Solution

The fourth proportional to 583.36, 874.27 and 274.79 is: 411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.36 : 874.27 = 274.79 : x
  2. Step 2: Convert to fraction form
    583.36/874.27 = 274.79/x
  3. Step 3: Cross multiply
    583.36x = 874.27 × 274.79
  4. Step 4: Simplify right side
    583.36x = 240,240.65
  5. Step 5: Solve for x
    x = 240,240.65/583.36
  6. Step 6: Final answer
    x = 411.82

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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.