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Finding the Fourth Proportional to 304.70, 455.98 and 218.13

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Solution

The fourth proportional to 304.70, 455.98 and 218.13 is: 326.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.70 : 455.98 = 218.13 : x
  2. Step 2: Convert to fraction form
    304.70/455.98 = 218.13/x
  3. Step 3: Cross multiply
    304.70x = 455.98 × 218.13
  4. Step 4: Simplify right side
    304.70x = 99,461.07
  5. Step 5: Solve for x
    x = 99,461.07/304.70
  6. Step 6: Final answer
    x = 326.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.