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Finding the Fourth Proportional to 440.29, 659.12 and 285.77

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Solution

The fourth proportional to 440.29, 659.12 and 285.77 is: 427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.29 : 659.12 = 285.77 : x
  2. Step 2: Convert to fraction form
    440.29/659.12 = 285.77/x
  3. Step 3: Cross multiply
    440.29x = 659.12 × 285.77
  4. Step 4: Simplify right side
    440.29x = 188,356.72
  5. Step 5: Solve for x
    x = 188,356.72/440.29
  6. Step 6: Final answer
    x = 427.80

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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.