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Finding the Fourth Proportional to 643.07, 963.99 and 368.78

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Solution

The fourth proportional to 643.07, 963.99 and 368.78 is: 552.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.07 : 963.99 = 368.78 : x
  2. Step 2: Convert to fraction form
    643.07/963.99 = 368.78/x
  3. Step 3: Cross multiply
    643.07x = 963.99 × 368.78
  4. Step 4: Simplify right side
    643.07x = 355,500.23
  5. Step 5: Solve for x
    x = 355,500.23/643.07
  6. Step 6: Final answer
    x = 552.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.