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Finding the Fourth Proportional to 603.92, 833.78 and 417.34

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Solution

The fourth proportional to 603.92, 833.78 and 417.34 is: 576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.92 : 833.78 = 417.34 : x
  2. Step 2: Convert to fraction form
    603.92/833.78 = 417.34/x
  3. Step 3: Cross multiply
    603.92x = 833.78 × 417.34
  4. Step 4: Simplify right side
    603.92x = 347,969.75
  5. Step 5: Solve for x
    x = 347,969.75/603.92
  6. Step 6: Final answer
    x = 576.19

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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.