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Finding the Fourth Proportional to 444.30, 664.67 and 384.08

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Solution

The fourth proportional to 444.30, 664.67 and 384.08 is: 574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.30 : 664.67 = 384.08 : x
  2. Step 2: Convert to fraction form
    444.30/664.67 = 384.08/x
  3. Step 3: Cross multiply
    444.30x = 664.67 × 384.08
  4. Step 4: Simplify right side
    444.30x = 255,286.45
  5. Step 5: Solve for x
    x = 255,286.45/444.30
  6. Step 6: Final answer
    x = 574.58

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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.