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Finding the Fourth Proportional to 302.43, 418.44 and 263.70

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Solution

The fourth proportional to 302.43, 418.44 and 263.70 is: 364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.43 : 418.44 = 263.70 : x
  2. Step 2: Convert to fraction form
    302.43/418.44 = 263.70/x
  3. Step 3: Cross multiply
    302.43x = 418.44 × 263.70
  4. Step 4: Simplify right side
    302.43x = 110,342.63
  5. Step 5: Solve for x
    x = 110,342.63/302.43
  6. Step 6: Final answer
    x = 364.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.