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Finding the Fourth Proportional to 605.12, 835.84 and 475.76

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Solution

The fourth proportional to 605.12, 835.84 and 475.76 is: 657.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.12 : 835.84 = 475.76 : x
  2. Step 2: Convert to fraction form
    605.12/835.84 = 475.76/x
  3. Step 3: Cross multiply
    605.12x = 835.84 × 475.76
  4. Step 4: Simplify right side
    605.12x = 397,659.24
  5. Step 5: Solve for x
    x = 397,659.24/605.12
  6. Step 6: Final answer
    x = 657.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.