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Finding the Fourth Proportional to 304.19, 456.26 and 213.24

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Solution

The fourth proportional to 304.19, 456.26 and 213.24 is: 319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.19 : 456.26 = 213.24 : x
  2. Step 2: Convert to fraction form
    304.19/456.26 = 213.24/x
  3. Step 3: Cross multiply
    304.19x = 456.26 × 213.24
  4. Step 4: Simplify right side
    304.19x = 97,291.82
  5. Step 5: Solve for x
    x = 97,291.82/304.19
  6. Step 6: Final answer
    x = 319.84

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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.