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Finding the Fourth Proportional to 305.88, 458.43 and 302.63

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Solution

The fourth proportional to 305.88, 458.43 and 302.63 is: 453.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.88 : 458.43 = 302.63 : x
  2. Step 2: Convert to fraction form
    305.88/458.43 = 302.63/x
  3. Step 3: Cross multiply
    305.88x = 458.43 × 302.63
  4. Step 4: Simplify right side
    305.88x = 138,732.38
  5. Step 5: Solve for x
    x = 138,732.38/305.88
  6. Step 6: Final answer
    x = 453.55

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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.