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Finding the Fourth Proportional to 604.23, 833.67 and 342.24

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Solution

The fourth proportional to 604.23, 833.67 and 342.24 is: 472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.23 : 833.67 = 342.24 : x
  2. Step 2: Convert to fraction form
    604.23/833.67 = 342.24/x
  3. Step 3: Cross multiply
    604.23x = 833.67 × 342.24
  4. Step 4: Simplify right side
    604.23x = 285,315.22
  5. Step 5: Solve for x
    x = 285,315.22/604.23
  6. Step 6: Final answer
    x = 472.20

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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.