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Finding the Fourth Proportional to 605.34, 905.58 and 412.56

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Solution

The fourth proportional to 605.34, 905.58 and 412.56 is: 617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.34 : 905.58 = 412.56 : x
  2. Step 2: Convert to fraction form
    605.34/905.58 = 412.56/x
  3. Step 3: Cross multiply
    605.34x = 905.58 × 412.56
  4. Step 4: Simplify right side
    605.34x = 373,606.08
  5. Step 5: Solve for x
    x = 373,606.08/605.34
  6. Step 6: Final answer
    x = 617.18

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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.