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Finding the Fourth Proportional to 604.09, 833.58 and 342.10

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Solution

The fourth proportional to 604.09, 833.58 and 342.10 is: 472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.09 : 833.58 = 342.10 : x
  2. Step 2: Convert to fraction form
    604.09/833.58 = 342.10/x
  3. Step 3: Cross multiply
    604.09x = 833.58 × 342.10
  4. Step 4: Simplify right side
    604.09x = 285,167.72
  5. Step 5: Solve for x
    x = 285,167.72/604.09
  6. Step 6: Final answer
    x = 472.06

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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.