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Finding the Fourth Proportional to 643.46, 963.96 and 368.72

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Solution

The fourth proportional to 643.46, 963.96 and 368.72 is: 552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.46 : 963.96 = 368.72 : x
  2. Step 2: Convert to fraction form
    643.46/963.96 = 368.72/x
  3. Step 3: Cross multiply
    643.46x = 963.96 × 368.72
  4. Step 4: Simplify right side
    643.46x = 355,426.51
  5. Step 5: Solve for x
    x = 355,426.51/643.46
  6. Step 6: Final answer
    x = 552.37

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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.