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Finding the Fourth Proportional to 348.98, 480.96 and 278.91

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Solution

The fourth proportional to 348.98, 480.96 and 278.91 is: 384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.98 : 480.96 = 278.91 : x
  2. Step 2: Convert to fraction form
    348.98/480.96 = 278.91/x
  3. Step 3: Cross multiply
    348.98x = 480.96 × 278.91
  4. Step 4: Simplify right side
    348.98x = 134,144.55
  5. Step 5: Solve for x
    x = 134,144.55/348.98
  6. Step 6: Final answer
    x = 384.40

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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.