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Finding the Fourth Proportional to 604.22, 832.73 and 417.71

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Solution

The fourth proportional to 604.22, 832.73 and 417.71 is: 575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.22 : 832.73 = 417.71 : x
  2. Step 2: Convert to fraction form
    604.22/832.73 = 417.71/x
  3. Step 3: Cross multiply
    604.22x = 832.73 × 417.71
  4. Step 4: Simplify right side
    604.22x = 347,833.40
  5. Step 5: Solve for x
    x = 347,833.40/604.22
  6. Step 6: Final answer
    x = 575.68

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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.