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Finding the Fourth Proportional to 849.52, 1,274.28 and 301.72

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Solution

The fourth proportional to 849.52, 1,274.28 and 301.72 is: 452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.52 : 1,274.28 = 301.72 : x
  2. Step 2: Convert to fraction form
    849.52/1,274.28 = 301.72/x
  3. Step 3: Cross multiply
    849.52x = 1,274.28 × 301.72
  4. Step 4: Simplify right side
    849.52x = 384,475.53
  5. Step 5: Solve for x
    x = 384,475.53/849.52
  6. Step 6: Final answer
    x = 452.58

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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.