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Finding the Fourth Proportional to 304.58, 455.72 and 202.11

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Solution

The fourth proportional to 304.58, 455.72 and 202.11 is: 302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.58 : 455.72 = 202.11 : x
  2. Step 2: Convert to fraction form
    304.58/455.72 = 202.11/x
  3. Step 3: Cross multiply
    304.58x = 455.72 × 202.11
  4. Step 4: Simplify right side
    304.58x = 92,104.56
  5. Step 5: Solve for x
    x = 92,104.56/304.58
  6. Step 6: Final answer
    x = 302.40

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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.