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Finding the Fourth Proportional to 348.95, 480.12 and 302.17

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Solution

The fourth proportional to 348.95, 480.12 and 302.17 is: 415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.95 : 480.12 = 302.17 : x
  2. Step 2: Convert to fraction form
    348.95/480.12 = 302.17/x
  3. Step 3: Cross multiply
    348.95x = 480.12 × 302.17
  4. Step 4: Simplify right side
    348.95x = 145,077.86
  5. Step 5: Solve for x
    x = 145,077.86/348.95
  6. Step 6: Final answer
    x = 415.76

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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.