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Finding the Fourth Proportional to 604.31, 833.57 and 380.26

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Solution

The fourth proportional to 604.31, 833.57 and 380.26 is: 524.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.31 : 833.57 = 380.26 : x
  2. Step 2: Convert to fraction form
    604.31/833.57 = 380.26/x
  3. Step 3: Cross multiply
    604.31x = 833.57 × 380.26
  4. Step 4: Simplify right side
    604.31x = 316,969.31
  5. Step 5: Solve for x
    x = 316,969.31/604.31
  6. Step 6: Final answer
    x = 524.51

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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.