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Finding the Fourth Proportional to 343.08, 511.56 and 328.68

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Solution

The fourth proportional to 343.08, 511.56 and 328.68 is: 490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.08 : 511.56 = 328.68 : x
  2. Step 2: Convert to fraction form
    343.08/511.56 = 328.68/x
  3. Step 3: Cross multiply
    343.08x = 511.56 × 328.68
  4. Step 4: Simplify right side
    343.08x = 168,139.54
  5. Step 5: Solve for x
    x = 168,139.54/343.08
  6. Step 6: Final answer
    x = 490.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.