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Finding the Fourth Proportional to 304.04, 419.79 and 205.98

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Solution

The fourth proportional to 304.04, 419.79 and 205.98 is: 284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.04 : 419.79 = 205.98 : x
  2. Step 2: Convert to fraction form
    304.04/419.79 = 205.98/x
  3. Step 3: Cross multiply
    304.04x = 419.79 × 205.98
  4. Step 4: Simplify right side
    304.04x = 86,468.34
  5. Step 5: Solve for x
    x = 86,468.34/304.04
  6. Step 6: Final answer
    x = 284.40

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