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Finding the Fourth Proportional to 646.96, 970.03 and 299.83

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Solution

The fourth proportional to 646.96, 970.03 and 299.83 is: 449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.96 : 970.03 = 299.83 : x
  2. Step 2: Convert to fraction form
    646.96/970.03 = 299.83/x
  3. Step 3: Cross multiply
    646.96x = 970.03 × 299.83
  4. Step 4: Simplify right side
    646.96x = 290,837.75
  5. Step 5: Solve for x
    x = 290,837.75/646.96
  6. Step 6: Final answer
    x = 449.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.