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Finding the Fourth Proportional to 643.76, 888 and 411.02

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Solution

The fourth proportional to 643.76, 888 and 411.02 is: 566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.76 : 888 = 411.02 : x
  2. Step 2: Convert to fraction form
    643.76/888 = 411.02/x
  3. Step 3: Cross multiply
    643.76x = 888 × 411.02
  4. Step 4: Simplify right side
    643.76x = 364,985.76
  5. Step 5: Solve for x
    x = 364,985.76/643.76
  6. Step 6: Final answer
    x = 566.96

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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.