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Finding the Fourth Proportional to 301.68, 453.53 and 241.47

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Solution

The fourth proportional to 301.68, 453.53 and 241.47 is: 363.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.68 : 453.53 = 241.47 : x
  2. Step 2: Convert to fraction form
    301.68/453.53 = 241.47/x
  3. Step 3: Cross multiply
    301.68x = 453.53 × 241.47
  4. Step 4: Simplify right side
    301.68x = 109,513.89
  5. Step 5: Solve for x
    x = 109,513.89/301.68
  6. Step 6: Final answer
    x = 363.01

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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.