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Finding the Fourth Proportional to 304.74, 457 and 109.68

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Solution

The fourth proportional to 304.74, 457 and 109.68 is: 164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.74 : 457 = 109.68 : x
  2. Step 2: Convert to fraction form
    304.74/457 = 109.68/x
  3. Step 3: Cross multiply
    304.74x = 457 × 109.68
  4. Step 4: Simplify right side
    304.74x = 50,123.76
  5. Step 5: Solve for x
    x = 50,123.76/304.74
  6. Step 6: Final answer
    x = 164.48

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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.