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Finding the Fourth Proportional to 437.47, 655.74 and 163.45

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Solution

The fourth proportional to 437.47, 655.74 and 163.45 is: 245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.47 : 655.74 = 163.45 : x
  2. Step 2: Convert to fraction form
    437.47/655.74 = 163.45/x
  3. Step 3: Cross multiply
    437.47x = 655.74 × 163.45
  4. Step 4: Simplify right side
    437.47x = 107,182.14
  5. Step 5: Solve for x
    x = 107,182.14/437.47
  6. Step 6: Final answer
    x = 245.00

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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.