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Finding the Fourth Proportional to 646.29, 968.63 and 299.15

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Solution

The fourth proportional to 646.29, 968.63 and 299.15 is: 448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.29 : 968.63 = 299.15 : x
  2. Step 2: Convert to fraction form
    646.29/968.63 = 299.15/x
  3. Step 3: Cross multiply
    646.29x = 968.63 × 299.15
  4. Step 4: Simplify right side
    646.29x = 289,765.66
  5. Step 5: Solve for x
    x = 289,765.66/646.29
  6. Step 6: Final answer
    x = 448.35

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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.