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Finding the Fourth Proportional to 343.20, 514.80 and 270.08

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Solution

The fourth proportional to 343.20, 514.80 and 270.08 is: 405.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.20 : 514.80 = 270.08 : x
  2. Step 2: Convert to fraction form
    343.20/514.80 = 270.08/x
  3. Step 3: Cross multiply
    343.20x = 514.80 × 270.08
  4. Step 4: Simplify right side
    343.20x = 139,037.18
  5. Step 5: Solve for x
    x = 139,037.18/343.20
  6. Step 6: Final answer
    x = 405.12

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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.