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Finding the Fourth Proportional to 643.74, 888.06 and 378.10

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Solution

The fourth proportional to 643.74, 888.06 and 378.10 is: 521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.74 : 888.06 = 378.10 : x
  2. Step 2: Convert to fraction form
    643.74/888.06 = 378.10/x
  3. Step 3: Cross multiply
    643.74x = 888.06 × 378.10
  4. Step 4: Simplify right side
    643.74x = 335,773.02
  5. Step 5: Solve for x
    x = 335,773.02/643.74
  6. Step 6: Final answer
    x = 521.60

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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.