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Finding the Fourth Proportional to 440.46, 659.30 and 349.34

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Solution

The fourth proportional to 440.46, 659.30 and 349.34 is: 522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.46 : 659.30 = 349.34 : x
  2. Step 2: Convert to fraction form
    440.46/659.30 = 349.34/x
  3. Step 3: Cross multiply
    440.46x = 659.30 × 349.34
  4. Step 4: Simplify right side
    440.46x = 230,314.82
  5. Step 5: Solve for x
    x = 230,314.82/440.46
  6. Step 6: Final answer
    x = 522.90

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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.