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Finding the Fourth Proportional to 646.38, 969.54 and 321.96

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Solution

The fourth proportional to 646.38, 969.54 and 321.96 is: 482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.38 : 969.54 = 321.96 : x
  2. Step 2: Convert to fraction form
    646.38/969.54 = 321.96/x
  3. Step 3: Cross multiply
    646.38x = 969.54 × 321.96
  4. Step 4: Simplify right side
    646.38x = 312,153.10
  5. Step 5: Solve for x
    x = 312,153.10/646.38
  6. Step 6: Final answer
    x = 482.93

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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.