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Finding the Fourth Proportional to 357.63, 535.14 and 308.22

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Solution

The fourth proportional to 357.63, 535.14 and 308.22 is: 461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.63 : 535.14 = 308.22 : x
  2. Step 2: Convert to fraction form
    357.63/535.14 = 308.22/x
  3. Step 3: Cross multiply
    357.63x = 535.14 × 308.22
  4. Step 4: Simplify right side
    357.63x = 164,940.85
  5. Step 5: Solve for x
    x = 164,940.85/357.63
  6. Step 6: Final answer
    x = 461.21

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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.