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Finding the Fourth Proportional to 440.02, 659.40 and 223.30

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Solution

The fourth proportional to 440.02, 659.40 and 223.30 is: 334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.02 : 659.40 = 223.30 : x
  2. Step 2: Convert to fraction form
    440.02/659.40 = 223.30/x
  3. Step 3: Cross multiply
    440.02x = 659.40 × 223.30
  4. Step 4: Simplify right side
    440.02x = 147,244.02
  5. Step 5: Solve for x
    x = 147,244.02/440.02
  6. Step 6: Final answer
    x = 334.63

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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.