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Finding the Fourth Proportional to 645.45, 967.64 and 316.40

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Solution

The fourth proportional to 645.45, 967.64 and 316.40 is: 474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.45 : 967.64 = 316.40 : x
  2. Step 2: Convert to fraction form
    645.45/967.64 = 316.40/x
  3. Step 3: Cross multiply
    645.45x = 967.64 × 316.40
  4. Step 4: Simplify right side
    645.45x = 306,154.88
  5. Step 5: Solve for x
    x = 306,154.88/645.45
  6. Step 6: Final answer
    x = 474.33

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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.