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Finding the Fourth Proportional to 397.23, 546.84 and 341.66

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Solution

The fourth proportional to 397.23, 546.84 and 341.66 is: 470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.23 : 546.84 = 341.66 : x
  2. Step 2: Convert to fraction form
    397.23/546.84 = 341.66/x
  3. Step 3: Cross multiply
    397.23x = 546.84 × 341.66
  4. Step 4: Simplify right side
    397.23x = 186,830.62
  5. Step 5: Solve for x
    x = 186,830.62/397.23
  6. Step 6: Final answer
    x = 470.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.