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Finding the Fourth Proportional to 440.27, 659.55 and 397.07

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Solution

The fourth proportional to 440.27, 659.55 and 397.07 is: 594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.27 : 659.55 = 397.07 : x
  2. Step 2: Convert to fraction form
    440.27/659.55 = 397.07/x
  3. Step 3: Cross multiply
    440.27x = 659.55 × 397.07
  4. Step 4: Simplify right side
    440.27x = 261,887.52
  5. Step 5: Solve for x
    x = 261,887.52/440.27
  6. Step 6: Final answer
    x = 594.83

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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.