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Finding the Fourth Proportional to 304.84, 455.70 and 226.93

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Solution

The fourth proportional to 304.84, 455.70 and 226.93 is: 339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.84 : 455.70 = 226.93 : x
  2. Step 2: Convert to fraction form
    304.84/455.70 = 226.93/x
  3. Step 3: Cross multiply
    304.84x = 455.70 × 226.93
  4. Step 4: Simplify right side
    304.84x = 103,412.00
  5. Step 5: Solve for x
    x = 103,412.00/304.84
  6. Step 6: Final answer
    x = 339.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.