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Finding the Fourth Proportional to 408.30, 613.80 and 348.90

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Solution

The fourth proportional to 408.30, 613.80 and 348.90 is: 524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.30 : 613.80 = 348.90 : x
  2. Step 2: Convert to fraction form
    408.30/613.80 = 348.90/x
  3. Step 3: Cross multiply
    408.30x = 613.80 × 348.90
  4. Step 4: Simplify right side
    408.30x = 214,154.82
  5. Step 5: Solve for x
    x = 214,154.82/408.30
  6. Step 6: Final answer
    x = 524.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.