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Finding the Fourth Proportional to 304.39, 456.53 and 109.36

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Solution

The fourth proportional to 304.39, 456.53 and 109.36 is: 164.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.39 : 456.53 = 109.36 : x
  2. Step 2: Convert to fraction form
    304.39/456.53 = 109.36/x
  3. Step 3: Cross multiply
    304.39x = 456.53 × 109.36
  4. Step 4: Simplify right side
    304.39x = 49,926.12
  5. Step 5: Solve for x
    x = 49,926.12/304.39
  6. Step 6: Final answer
    x = 164.02

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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.