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Finding the Fourth Proportional to 303.76, 419.05 and 205.35

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Solution

The fourth proportional to 303.76, 419.05 and 205.35 is: 283.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.76 : 419.05 = 205.35 : x
  2. Step 2: Convert to fraction form
    303.76/419.05 = 205.35/x
  3. Step 3: Cross multiply
    303.76x = 419.05 × 205.35
  4. Step 4: Simplify right side
    303.76x = 86,051.92
  5. Step 5: Solve for x
    x = 86,051.92/303.76
  6. Step 6: Final answer
    x = 283.29

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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.