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Finding the Fourth Proportional to 963.27, 1,445.04 and 313.84

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Solution

The fourth proportional to 963.27, 1,445.04 and 313.84 is: 470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.27 : 1,445.04 = 313.84 : x
  2. Step 2: Convert to fraction form
    963.27/1,445.04 = 313.84/x
  3. Step 3: Cross multiply
    963.27x = 1,445.04 × 313.84
  4. Step 4: Simplify right side
    963.27x = 453,511.35
  5. Step 5: Solve for x
    x = 453,511.35/963.27
  6. Step 6: Final answer
    x = 470.80

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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.