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Finding the Fourth Proportional to 484.12, 725.64 and 301.60

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Solution

The fourth proportional to 484.12, 725.64 and 301.60 is: 452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.12 : 725.64 = 301.60 : x
  2. Step 2: Convert to fraction form
    484.12/725.64 = 301.60/x
  3. Step 3: Cross multiply
    484.12x = 725.64 × 301.60
  4. Step 4: Simplify right side
    484.12x = 218,853.02
  5. Step 5: Solve for x
    x = 218,853.02/484.12
  6. Step 6: Final answer
    x = 452.06

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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.