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Finding the Fourth Proportional to 444.23, 665.21 and 328.51

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Solution

The fourth proportional to 444.23, 665.21 and 328.51 is: 491.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.23 : 665.21 = 328.51 : x
  2. Step 2: Convert to fraction form
    444.23/665.21 = 328.51/x
  3. Step 3: Cross multiply
    444.23x = 665.21 × 328.51
  4. Step 4: Simplify right side
    444.23x = 218,526.05
  5. Step 5: Solve for x
    x = 218,526.05/444.23
  6. Step 6: Final answer
    x = 491.92

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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.