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Finding the Fourth Proportional to 303.47, 418.39 and 205.32

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Solution

The fourth proportional to 303.47, 418.39 and 205.32 is: 283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.47 : 418.39 = 205.32 : x
  2. Step 2: Convert to fraction form
    303.47/418.39 = 205.32/x
  3. Step 3: Cross multiply
    303.47x = 418.39 × 205.32
  4. Step 4: Simplify right side
    303.47x = 85,903.83
  5. Step 5: Solve for x
    x = 85,903.83/303.47
  6. Step 6: Final answer
    x = 283.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.