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Finding the Fourth Proportional to 599.24, 897.64 and 274.84

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Solution

The fourth proportional to 599.24, 897.64 and 274.84 is: 411.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.24 : 897.64 = 274.84 : x
  2. Step 2: Convert to fraction form
    599.24/897.64 = 274.84/x
  3. Step 3: Cross multiply
    599.24x = 897.64 × 274.84
  4. Step 4: Simplify right side
    599.24x = 246,704.45
  5. Step 5: Solve for x
    x = 246,704.45/599.24
  6. Step 6: Final answer
    x = 411.69

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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.