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Finding the Fourth Proportional to 643.64, 888.23 and 348.91

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Solution

The fourth proportional to 643.64, 888.23 and 348.91 is: 481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.64 : 888.23 = 348.91 : x
  2. Step 2: Convert to fraction form
    643.64/888.23 = 348.91/x
  3. Step 3: Cross multiply
    643.64x = 888.23 × 348.91
  4. Step 4: Simplify right side
    643.64x = 309,910.36
  5. Step 5: Solve for x
    x = 309,910.36/643.64
  6. Step 6: Final answer
    x = 481.50

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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.