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Finding the Fourth Proportional to 646.04, 968.53 and 321.23

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Solution

The fourth proportional to 646.04, 968.53 and 321.23 is: 481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.04 : 968.53 = 321.23 : x
  2. Step 2: Convert to fraction form
    646.04/968.53 = 321.23/x
  3. Step 3: Cross multiply
    646.04x = 968.53 × 321.23
  4. Step 4: Simplify right side
    646.04x = 311,120.89
  5. Step 5: Solve for x
    x = 311,120.89/646.04
  6. Step 6: Final answer
    x = 481.58

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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.