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Finding the Fourth Proportional to 304.96, 454.64 and 302.20

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Solution

The fourth proportional to 304.96, 454.64 and 302.20 is: 450.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.96 : 454.64 = 302.20 : x
  2. Step 2: Convert to fraction form
    304.96/454.64 = 302.20/x
  3. Step 3: Cross multiply
    304.96x = 454.64 × 302.20
  4. Step 4: Simplify right side
    304.96x = 137,392.21
  5. Step 5: Solve for x
    x = 137,392.21/304.96
  6. Step 6: Final answer
    x = 450.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.