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Finding the Fourth Proportional to 437.16, 655.92 and 416.46

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Solution

The fourth proportional to 437.16, 655.92 and 416.46 is: 624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.16 : 655.92 = 416.46 : x
  2. Step 2: Convert to fraction form
    437.16/655.92 = 416.46/x
  3. Step 3: Cross multiply
    437.16x = 655.92 × 416.46
  4. Step 4: Simplify right side
    437.16x = 273,164.44
  5. Step 5: Solve for x
    x = 273,164.44/437.16
  6. Step 6: Final answer
    x = 624.86

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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.