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Finding the Fourth Proportional to 440.62, 607.17 and 323.98

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Solution

The fourth proportional to 440.62, 607.17 and 323.98 is: 446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.62 : 607.17 = 323.98 : x
  2. Step 2: Convert to fraction form
    440.62/607.17 = 323.98/x
  3. Step 3: Cross multiply
    440.62x = 607.17 × 323.98
  4. Step 4: Simplify right side
    440.62x = 196,710.94
  5. Step 5: Solve for x
    x = 196,710.94/440.62
  6. Step 6: Final answer
    x = 446.44

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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.