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Finding the Fourth Proportional to 437.61, 656.22 and 255.06

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Solution

The fourth proportional to 437.61, 656.22 and 255.06 is: 382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.61 : 656.22 = 255.06 : x
  2. Step 2: Convert to fraction form
    437.61/656.22 = 255.06/x
  3. Step 3: Cross multiply
    437.61x = 656.22 × 255.06
  4. Step 4: Simplify right side
    437.61x = 167,374.99
  5. Step 5: Solve for x
    x = 167,374.99/437.61
  6. Step 6: Final answer
    x = 382.47

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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.