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Finding the Fourth Proportional to 646.49, 969.16 and 338.56

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Solution

The fourth proportional to 646.49, 969.16 and 338.56 is: 507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.49 : 969.16 = 338.56 : x
  2. Step 2: Convert to fraction form
    646.49/969.16 = 338.56/x
  3. Step 3: Cross multiply
    646.49x = 969.16 × 338.56
  4. Step 4: Simplify right side
    646.49x = 328,118.81
  5. Step 5: Solve for x
    x = 328,118.81/646.49
  6. Step 6: Final answer
    x = 507.54

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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.