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Finding the Fourth Proportional to 348.65, 480.85 and 296.34

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Solution

The fourth proportional to 348.65, 480.85 and 296.34 is: 408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.65 : 480.85 = 296.34 : x
  2. Step 2: Convert to fraction form
    348.65/480.85 = 296.34/x
  3. Step 3: Cross multiply
    348.65x = 480.85 × 296.34
  4. Step 4: Simplify right side
    348.65x = 142,492.68
  5. Step 5: Solve for x
    x = 142,492.68/348.65
  6. Step 6: Final answer
    x = 408.70

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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.