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Finding the Fourth Proportional to 356.44, 488.32 and 343.48

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Solution

The fourth proportional to 356.44, 488.32 and 343.48 is: 470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.44 : 488.32 = 343.48 : x
  2. Step 2: Convert to fraction form
    356.44/488.32 = 343.48/x
  3. Step 3: Cross multiply
    356.44x = 488.32 × 343.48
  4. Step 4: Simplify right side
    356.44x = 167,728.15
  5. Step 5: Solve for x
    x = 167,728.15/356.44
  6. Step 6: Final answer
    x = 470.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.