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Finding the Fourth Proportional to 302.59, 418.26 and 269.65

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Solution

The fourth proportional to 302.59, 418.26 and 269.65 is: 372.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.59 : 418.26 = 269.65 : x
  2. Step 2: Convert to fraction form
    302.59/418.26 = 269.65/x
  3. Step 3: Cross multiply
    302.59x = 418.26 × 269.65
  4. Step 4: Simplify right side
    302.59x = 112,783.81
  5. Step 5: Solve for x
    x = 112,783.81/302.59
  6. Step 6: Final answer
    x = 372.73

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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.