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Finding the Fourth Proportional to 440.02, 659.34 and 324.29

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Solution

The fourth proportional to 440.02, 659.34 and 324.29 is: 485.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.02 : 659.34 = 324.29 : x
  2. Step 2: Convert to fraction form
    440.02/659.34 = 324.29/x
  3. Step 3: Cross multiply
    440.02x = 659.34 × 324.29
  4. Step 4: Simplify right side
    440.02x = 213,817.37
  5. Step 5: Solve for x
    x = 213,817.37/440.02
  6. Step 6: Final answer
    x = 485.93

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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.