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Finding the Fourth Proportional to 643.41, 888.17 and 407.48

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Solution

The fourth proportional to 643.41, 888.17 and 407.48 is: 562.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.41 : 888.17 = 407.48 : x
  2. Step 2: Convert to fraction form
    643.41/888.17 = 407.48/x
  3. Step 3: Cross multiply
    643.41x = 888.17 × 407.48
  4. Step 4: Simplify right side
    643.41x = 361,905.03
  5. Step 5: Solve for x
    x = 361,905.03/643.41
  6. Step 6: Final answer
    x = 562.48

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