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Finding the Fourth Proportional to 442.46, 610.46 and 348.91

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Solution

The fourth proportional to 442.46, 610.46 and 348.91 is: 481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.46 : 610.46 = 348.91 : x
  2. Step 2: Convert to fraction form
    442.46/610.46 = 348.91/x
  3. Step 3: Cross multiply
    442.46x = 610.46 × 348.91
  4. Step 4: Simplify right side
    442.46x = 212,994.94
  5. Step 5: Solve for x
    x = 212,994.94/442.46
  6. Step 6: Final answer
    x = 481.39

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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.