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Finding the Fourth Proportional to 351.26, 525.80 and 302.05

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Solution

The fourth proportional to 351.26, 525.80 and 302.05 is: 452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.26 : 525.80 = 302.05 : x
  2. Step 2: Convert to fraction form
    351.26/525.80 = 302.05/x
  3. Step 3: Cross multiply
    351.26x = 525.80 × 302.05
  4. Step 4: Simplify right side
    351.26x = 158,817.33
  5. Step 5: Solve for x
    x = 158,817.33/351.26
  6. Step 6: Final answer
    x = 452.14

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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.