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Finding the Fourth Proportional to 643.41, 888.17 and 410.49

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Solution

The fourth proportional to 643.41, 888.17 and 410.49 is: 566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.41 : 888.17 = 410.49 : x
  2. Step 2: Convert to fraction form
    643.41/888.17 = 410.49/x
  3. Step 3: Cross multiply
    643.41x = 888.17 × 410.49
  4. Step 4: Simplify right side
    643.41x = 364,582.85
  5. Step 5: Solve for x
    x = 364,582.85/643.41
  6. Step 6: Final answer
    x = 566.64

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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.