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Finding the Fourth Proportional to 646.56, 968.62 and 320.94

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Solution

The fourth proportional to 646.56, 968.62 and 320.94 is: 480.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.56 : 968.62 = 320.94 : x
  2. Step 2: Convert to fraction form
    646.56/968.62 = 320.94/x
  3. Step 3: Cross multiply
    646.56x = 968.62 × 320.94
  4. Step 4: Simplify right side
    646.56x = 310,868.90
  5. Step 5: Solve for x
    x = 310,868.90/646.56
  6. Step 6: Final answer
    x = 480.80

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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.