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Finding the Fourth Proportional to 486.09, 670.54 and 338.47

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Solution

The fourth proportional to 486.09, 670.54 and 338.47 is: 466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.09 : 670.54 = 338.47 : x
  2. Step 2: Convert to fraction form
    486.09/670.54 = 338.47/x
  3. Step 3: Cross multiply
    486.09x = 670.54 × 338.47
  4. Step 4: Simplify right side
    486.09x = 226,957.67
  5. Step 5: Solve for x
    x = 226,957.67/486.09
  6. Step 6: Final answer
    x = 466.90

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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.