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Finding the Fourth Proportional to 302.89, 454.22 and 253.91

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Solution

The fourth proportional to 302.89, 454.22 and 253.91 is: 380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.89 : 454.22 = 253.91 : x
  2. Step 2: Convert to fraction form
    302.89/454.22 = 253.91/x
  3. Step 3: Cross multiply
    302.89x = 454.22 × 253.91
  4. Step 4: Simplify right side
    302.89x = 115,330.90
  5. Step 5: Solve for x
    x = 115,330.90/302.89
  6. Step 6: Final answer
    x = 380.77

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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.