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Finding the Fourth Proportional to 304.62, 419.40 and 265.79

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Solution

The fourth proportional to 304.62, 419.40 and 265.79 is: 365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.62 : 419.40 = 265.79 : x
  2. Step 2: Convert to fraction form
    304.62/419.40 = 265.79/x
  3. Step 3: Cross multiply
    304.62x = 419.40 × 265.79
  4. Step 4: Simplify right side
    304.62x = 111,470.23
  5. Step 5: Solve for x
    x = 111,470.23/304.62
  6. Step 6: Final answer
    x = 365.93

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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.