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Finding the Fourth Proportional to 304.81, 420.09 and 242.39

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Solution

The fourth proportional to 304.81, 420.09 and 242.39 is: 334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.81 : 420.09 = 242.39 : x
  2. Step 2: Convert to fraction form
    304.81/420.09 = 242.39/x
  3. Step 3: Cross multiply
    304.81x = 420.09 × 242.39
  4. Step 4: Simplify right side
    304.81x = 101,825.76
  5. Step 5: Solve for x
    x = 101,825.76/304.81
  6. Step 6: Final answer
    x = 334.06

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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.