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Finding the Fourth Proportional to 348.17, 480.33 and 230.00

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Solution

The fourth proportional to 348.17, 480.33 and 230.00 is: 317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.17 : 480.33 = 230.00 : x
  2. Step 2: Convert to fraction form
    348.17/480.33 = 230.00/x
  3. Step 3: Cross multiply
    348.17x = 480.33 × 230.00
  4. Step 4: Simplify right side
    348.17x = 110,473.50
  5. Step 5: Solve for x
    x = 110,473.50/348.17
  6. Step 6: Final answer
    x = 317.30

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Why These Related Problems?

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