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Finding the Fourth Proportional to 646.99, 969.17 and 299.85

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Solution

The fourth proportional to 646.99, 969.17 and 299.85 is: 449.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.99 : 969.17 = 299.85 : x
  2. Step 2: Convert to fraction form
    646.99/969.17 = 299.85/x
  3. Step 3: Cross multiply
    646.99x = 969.17 × 299.85
  4. Step 4: Simplify right side
    646.99x = 290,605.94
  5. Step 5: Solve for x
    x = 290,605.94/646.99
  6. Step 6: Final answer
    x = 449.17

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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.