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Finding the Fourth Proportional to 445.98, 614.87 and 321.25

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Solution

The fourth proportional to 445.98, 614.87 and 321.25 is: 442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.98 : 614.87 = 321.25 : x
  2. Step 2: Convert to fraction form
    445.98/614.87 = 321.25/x
  3. Step 3: Cross multiply
    445.98x = 614.87 × 321.25
  4. Step 4: Simplify right side
    445.98x = 197,527.89
  5. Step 5: Solve for x
    x = 197,527.89/445.98
  6. Step 6: Final answer
    x = 442.91

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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.