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Finding the Fourth Proportional to 643.86, 963.36 and 370.08

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Solution

The fourth proportional to 643.86, 963.36 and 370.08 is: 553.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.86 : 963.36 = 370.08 : x
  2. Step 2: Convert to fraction form
    643.86/963.36 = 370.08/x
  3. Step 3: Cross multiply
    643.86x = 963.36 × 370.08
  4. Step 4: Simplify right side
    643.86x = 356,520.27
  5. Step 5: Solve for x
    x = 356,520.27/643.86
  6. Step 6: Final answer
    x = 553.72

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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.