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Finding the Fourth Proportional to 348.50, 478.91 and 290.18

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Solution

The fourth proportional to 348.50, 478.91 and 290.18 is: 398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.50 : 478.91 = 290.18 : x
  2. Step 2: Convert to fraction form
    348.50/478.91 = 290.18/x
  3. Step 3: Cross multiply
    348.50x = 478.91 × 290.18
  4. Step 4: Simplify right side
    348.50x = 138,972.03
  5. Step 5: Solve for x
    x = 138,972.03/348.50
  6. Step 6: Final answer
    x = 398.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.