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Finding the Fourth Proportional to 646.61, 969.17 and 299.21

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Solution

The fourth proportional to 646.61, 969.17 and 299.21 is: 448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.61 : 969.17 = 299.21 : x
  2. Step 2: Convert to fraction form
    646.61/969.17 = 299.21/x
  3. Step 3: Cross multiply
    646.61x = 969.17 × 299.21
  4. Step 4: Simplify right side
    646.61x = 289,986.28
  5. Step 5: Solve for x
    x = 289,986.28/646.61
  6. Step 6: Final answer
    x = 448.48

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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.