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Finding the Fourth Proportional to 350.46, 524.07 and 301.86

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Solution

The fourth proportional to 350.46, 524.07 and 301.86 is: 451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.46 : 524.07 = 301.86 : x
  2. Step 2: Convert to fraction form
    350.46/524.07 = 301.86/x
  3. Step 3: Cross multiply
    350.46x = 524.07 × 301.86
  4. Step 4: Simplify right side
    350.46x = 158,195.77
  5. Step 5: Solve for x
    x = 158,195.77/350.46
  6. Step 6: Final answer
    x = 451.39

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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.