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Finding the Fourth Proportional to 646.02, 968.89 and 316.96

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Solution

The fourth proportional to 646.02, 968.89 and 316.96 is: 475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.02 : 968.89 = 316.96 : x
  2. Step 2: Convert to fraction form
    646.02/968.89 = 316.96/x
  3. Step 3: Cross multiply
    646.02x = 968.89 × 316.96
  4. Step 4: Simplify right side
    646.02x = 307,099.37
  5. Step 5: Solve for x
    x = 307,099.37/646.02
  6. Step 6: Final answer
    x = 475.37

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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.