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Finding the Fourth Proportional to 362.75, 541.82 and 341.69

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Solution

The fourth proportional to 362.75, 541.82 and 341.69 is: 510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.75 : 541.82 = 341.69 : x
  2. Step 2: Convert to fraction form
    362.75/541.82 = 341.69/x
  3. Step 3: Cross multiply
    362.75x = 541.82 × 341.69
  4. Step 4: Simplify right side
    362.75x = 185,132.62
  5. Step 5: Solve for x
    x = 185,132.62/362.75
  6. Step 6: Final answer
    x = 510.37

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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.