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Finding the Fourth Proportional to 646.16, 969.20 and 338.24

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Solution

The fourth proportional to 646.16, 969.20 and 338.24 is: 507.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.16 : 969.20 = 338.24 : x
  2. Step 2: Convert to fraction form
    646.16/969.20 = 338.24/x
  3. Step 3: Cross multiply
    646.16x = 969.20 × 338.24
  4. Step 4: Simplify right side
    646.16x = 327,822.21
  5. Step 5: Solve for x
    x = 327,822.21/646.16
  6. Step 6: Final answer
    x = 507.34

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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.