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Finding the Fourth Proportional to 304.05, 455.40 and 235.20

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Solution

The fourth proportional to 304.05, 455.40 and 235.20 is: 352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.05 : 455.40 = 235.20 : x
  2. Step 2: Convert to fraction form
    304.05/455.40 = 235.20/x
  3. Step 3: Cross multiply
    304.05x = 455.40 × 235.20
  4. Step 4: Simplify right side
    304.05x = 107,110.08
  5. Step 5: Solve for x
    x = 107,110.08/304.05
  6. Step 6: Final answer
    x = 352.28

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