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Finding the Fourth Proportional to 642.96, 963.86 and 296.34

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Solution

The fourth proportional to 642.96, 963.86 and 296.34 is: 444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.96 : 963.86 = 296.34 : x
  2. Step 2: Convert to fraction form
    642.96/963.86 = 296.34/x
  3. Step 3: Cross multiply
    642.96x = 963.86 × 296.34
  4. Step 4: Simplify right side
    642.96x = 285,628.79
  5. Step 5: Solve for x
    x = 285,628.79/642.96
  6. Step 6: Final answer
    x = 444.24

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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.