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Finding the Fourth Proportional to 304.04, 419.40 and 205.82

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Solution

The fourth proportional to 304.04, 419.40 and 205.82 is: 283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.04 : 419.40 = 205.82 : x
  2. Step 2: Convert to fraction form
    304.04/419.40 = 205.82/x
  3. Step 3: Cross multiply
    304.04x = 419.40 × 205.82
  4. Step 4: Simplify right side
    304.04x = 86,320.91
  5. Step 5: Solve for x
    x = 86,320.91/304.04
  6. Step 6: Final answer
    x = 283.91

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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.