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Finding the Fourth Proportional to 341.80, 512.70 and 321.55

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Solution

The fourth proportional to 341.80, 512.70 and 321.55 is: 482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.80 : 512.70 = 321.55 : x
  2. Step 2: Convert to fraction form
    341.80/512.70 = 321.55/x
  3. Step 3: Cross multiply
    341.80x = 512.70 × 321.55
  4. Step 4: Simplify right side
    341.80x = 164,858.69
  5. Step 5: Solve for x
    x = 164,858.69/341.80
  6. Step 6: Final answer
    x = 482.33

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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.