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Finding the Fourth Proportional to 643.64, 888.21 and 381.66

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Solution

The fourth proportional to 643.64, 888.21 and 381.66 is: 526.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.64 : 888.21 = 381.66 : x
  2. Step 2: Convert to fraction form
    643.64/888.21 = 381.66/x
  3. Step 3: Cross multiply
    643.64x = 888.21 × 381.66
  4. Step 4: Simplify right side
    643.64x = 338,994.23
  5. Step 5: Solve for x
    x = 338,994.23/643.64
  6. Step 6: Final answer
    x = 526.69

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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.