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Finding the Fourth Proportional to 646.35, 969.30 and 338.10

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Solution

The fourth proportional to 646.35, 969.30 and 338.10 is: 507.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.35 : 969.30 = 338.10 : x
  2. Step 2: Convert to fraction form
    646.35/969.30 = 338.10/x
  3. Step 3: Cross multiply
    646.35x = 969.30 × 338.10
  4. Step 4: Simplify right side
    646.35x = 327,720.33
  5. Step 5: Solve for x
    x = 327,720.33/646.35
  6. Step 6: Final answer
    x = 507.03

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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.