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Finding the Fourth Proportional to 352.20, 525.21 and 309.06

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Solution

The fourth proportional to 352.20, 525.21 and 309.06 is: 460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.20 : 525.21 = 309.06 : x
  2. Step 2: Convert to fraction form
    352.20/525.21 = 309.06/x
  3. Step 3: Cross multiply
    352.20x = 525.21 × 309.06
  4. Step 4: Simplify right side
    352.20x = 162,321.40
  5. Step 5: Solve for x
    x = 162,321.40/352.20
  6. Step 6: Final answer
    x = 460.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.