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Finding the Fourth Proportional to 348.80, 480.17 and 302.01

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Solution

The fourth proportional to 348.80, 480.17 and 302.01 is: 415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.80 : 480.17 = 302.01 : x
  2. Step 2: Convert to fraction form
    348.80/480.17 = 302.01/x
  3. Step 3: Cross multiply
    348.80x = 480.17 × 302.01
  4. Step 4: Simplify right side
    348.80x = 145,014.63
  5. Step 5: Solve for x
    x = 145,014.63/348.80
  6. Step 6: Final answer
    x = 415.76

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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.