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Finding the Fourth Proportional to 440.07, 659.23 and 266.78

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Solution

The fourth proportional to 440.07, 659.23 and 266.78 is: 399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.07 : 659.23 = 266.78 : x
  2. Step 2: Convert to fraction form
    440.07/659.23 = 266.78/x
  3. Step 3: Cross multiply
    440.07x = 659.23 × 266.78
  4. Step 4: Simplify right side
    440.07x = 175,869.38
  5. Step 5: Solve for x
    x = 175,869.38/440.07
  6. Step 6: Final answer
    x = 399.64

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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.