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Finding the Fourth Proportional to 646.42, 969.51 and 299.73

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Solution

The fourth proportional to 646.42, 969.51 and 299.73 is: 449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.42 : 969.51 = 299.73 : x
  2. Step 2: Convert to fraction form
    646.42/969.51 = 299.73/x
  3. Step 3: Cross multiply
    646.42x = 969.51 × 299.73
  4. Step 4: Simplify right side
    646.42x = 290,591.23
  5. Step 5: Solve for x
    x = 290,591.23/646.42
  6. Step 6: Final answer
    x = 449.54

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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.