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Finding the Fourth Proportional to 582.75, 873.84 and 274.34

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Solution

The fourth proportional to 582.75, 873.84 and 274.34 is: 411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.75 : 873.84 = 274.34 : x
  2. Step 2: Convert to fraction form
    582.75/873.84 = 274.34/x
  3. Step 3: Cross multiply
    582.75x = 873.84 × 274.34
  4. Step 4: Simplify right side
    582.75x = 239,729.27
  5. Step 5: Solve for x
    x = 239,729.27/582.75
  6. Step 6: Final answer
    x = 411.38

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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.