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Finding the Fourth Proportional to 355.70, 534.09 and 307.34

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Solution

The fourth proportional to 355.70, 534.09 and 307.34 is: 461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.70 : 534.09 = 307.34 : x
  2. Step 2: Convert to fraction form
    355.70/534.09 = 307.34/x
  3. Step 3: Cross multiply
    355.70x = 534.09 × 307.34
  4. Step 4: Simplify right side
    355.70x = 164,147.22
  5. Step 5: Solve for x
    x = 164,147.22/355.70
  6. Step 6: Final answer
    x = 461.48

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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.