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Finding the Fourth Proportional to 304.80, 423.36 and 295.68

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Solution

The fourth proportional to 304.80, 423.36 and 295.68 is: 410.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.80 : 423.36 = 295.68 : x
  2. Step 2: Convert to fraction form
    304.80/423.36 = 295.68/x
  3. Step 3: Cross multiply
    304.80x = 423.36 × 295.68
  4. Step 4: Simplify right side
    304.80x = 125,179.08
  5. Step 5: Solve for x
    x = 125,179.08/304.80
  6. Step 6: Final answer
    x = 410.69

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.