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Finding the Fourth Proportional to 604.10, 832.82 and 417.29

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Solution

The fourth proportional to 604.10, 832.82 and 417.29 is: 575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.10 : 832.82 = 417.29 : x
  2. Step 2: Convert to fraction form
    604.10/832.82 = 417.29/x
  3. Step 3: Cross multiply
    604.10x = 832.82 × 417.29
  4. Step 4: Simplify right side
    604.10x = 347,521.21
  5. Step 5: Solve for x
    x = 347,521.21/604.10
  6. Step 6: Final answer
    x = 575.27

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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.