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Finding the Fourth Proportional to 603.92, 833.82 and 407.36

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Solution

The fourth proportional to 603.92, 833.82 and 407.36 is: 562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.92 : 833.82 = 407.36 : x
  2. Step 2: Convert to fraction form
    603.92/833.82 = 407.36/x
  3. Step 3: Cross multiply
    603.92x = 833.82 × 407.36
  4. Step 4: Simplify right side
    603.92x = 339,665.47
  5. Step 5: Solve for x
    x = 339,665.47/603.92
  6. Step 6: Final answer
    x = 562.43

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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.