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Finding the Fourth Proportional to 582.66, 874.19 and 274.75

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Solution

The fourth proportional to 582.66, 874.19 and 274.75 is: 412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.66 : 874.19 = 274.75 : x
  2. Step 2: Convert to fraction form
    582.66/874.19 = 274.75/x
  3. Step 3: Cross multiply
    582.66x = 874.19 × 274.75
  4. Step 4: Simplify right side
    582.66x = 240,183.70
  5. Step 5: Solve for x
    x = 240,183.70/582.66
  6. Step 6: Final answer
    x = 412.22

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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.