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Finding the Fourth Proportional to 643.84, 888.48 and 411.04

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Solution

The fourth proportional to 643.84, 888.48 and 411.04 is: 567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.84 : 888.48 = 411.04 : x
  2. Step 2: Convert to fraction form
    643.84/888.48 = 411.04/x
  3. Step 3: Cross multiply
    643.84x = 888.48 × 411.04
  4. Step 4: Simplify right side
    643.84x = 365,200.82
  5. Step 5: Solve for x
    x = 365,200.82/643.84
  6. Step 6: Final answer
    x = 567.22

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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.