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Finding the Fourth Proportional to 444.21, 665.84 and 322.30

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Solution

The fourth proportional to 444.21, 665.84 and 322.30 is: 483.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.21 : 665.84 = 322.30 : x
  2. Step 2: Convert to fraction form
    444.21/665.84 = 322.30/x
  3. Step 3: Cross multiply
    444.21x = 665.84 × 322.30
  4. Step 4: Simplify right side
    444.21x = 214,598.62
  5. Step 5: Solve for x
    x = 214,598.62/444.21
  6. Step 6: Final answer
    x = 483.11

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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.