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Finding the Fourth Proportional to 645.45, 967.85 and 316.41

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Solution

The fourth proportional to 645.45, 967.85 and 316.41 is: 474.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.45 : 967.85 = 316.41 : x
  2. Step 2: Convert to fraction form
    645.45/967.85 = 316.41/x
  3. Step 3: Cross multiply
    645.45x = 967.85 × 316.41
  4. Step 4: Simplify right side
    645.45x = 306,237.42
  5. Step 5: Solve for x
    x = 306,237.42/645.45
  6. Step 6: Final answer
    x = 474.46

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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.