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Finding the Fourth Proportional to 440.34, 659.40 and 285.78

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Solution

The fourth proportional to 440.34, 659.40 and 285.78 is: 427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.34 : 659.40 = 285.78 : x
  2. Step 2: Convert to fraction form
    440.34/659.40 = 285.78/x
  3. Step 3: Cross multiply
    440.34x = 659.40 × 285.78
  4. Step 4: Simplify right side
    440.34x = 188,443.33
  5. Step 5: Solve for x
    x = 188,443.33/440.34
  6. Step 6: Final answer
    x = 427.95

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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.