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Finding the Fourth Proportional to 646.34, 969.32 and 321.62

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Solution

The fourth proportional to 646.34, 969.32 and 321.62 is: 482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.34 : 969.32 = 321.62 : x
  2. Step 2: Convert to fraction form
    646.34/969.32 = 321.62/x
  3. Step 3: Cross multiply
    646.34x = 969.32 × 321.62
  4. Step 4: Simplify right side
    646.34x = 311,748.66
  5. Step 5: Solve for x
    x = 311,748.66/646.34
  6. Step 6: Final answer
    x = 482.33

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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.