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Finding the Fourth Proportional to 348.65, 480.92 and 230.63

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Solution

The fourth proportional to 348.65, 480.92 and 230.63 is: 318.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.65 : 480.92 = 230.63 : x
  2. Step 2: Convert to fraction form
    348.65/480.92 = 230.63/x
  3. Step 3: Cross multiply
    348.65x = 480.92 × 230.63
  4. Step 4: Simplify right side
    348.65x = 110,911.02
  5. Step 5: Solve for x
    x = 110,911.02/348.65
  6. Step 6: Final answer
    x = 318.12

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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.