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Finding the Fourth Proportional to 549.41, 823.22 and 440.06

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Solution

The fourth proportional to 549.41, 823.22 and 440.06 is: 659.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.41 : 823.22 = 440.06 : x
  2. Step 2: Convert to fraction form
    549.41/823.22 = 440.06/x
  3. Step 3: Cross multiply
    549.41x = 823.22 × 440.06
  4. Step 4: Simplify right side
    549.41x = 362,263.99
  5. Step 5: Solve for x
    x = 362,263.99/549.41
  6. Step 6: Final answer
    x = 659.37

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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.