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Finding the Fourth Proportional to 603.99, 833.63 and 342.09

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Solution

The fourth proportional to 603.99, 833.63 and 342.09 is: 472.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.99 : 833.63 = 342.09 : x
  2. Step 2: Convert to fraction form
    603.99/833.63 = 342.09/x
  3. Step 3: Cross multiply
    603.99x = 833.63 × 342.09
  4. Step 4: Simplify right side
    603.99x = 285,174.78
  5. Step 5: Solve for x
    x = 285,174.78/603.99
  6. Step 6: Final answer
    x = 472.15

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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.