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Finding the Fourth Proportional to 646.60, 969.96 and 321.76

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Solution

The fourth proportional to 646.60, 969.96 and 321.76 is: 482.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.60 : 969.96 = 321.76 : x
  2. Step 2: Convert to fraction form
    646.60/969.96 = 321.76/x
  3. Step 3: Cross multiply
    646.60x = 969.96 × 321.76
  4. Step 4: Simplify right side
    646.60x = 312,094.33
  5. Step 5: Solve for x
    x = 312,094.33/646.60
  6. Step 6: Final answer
    x = 482.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.