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Finding the Fourth Proportional to 603.80, 833.18 and 355.13

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Solution

The fourth proportional to 603.80, 833.18 and 355.13 is: 490.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.80 : 833.18 = 355.13 : x
  2. Step 2: Convert to fraction form
    603.80/833.18 = 355.13/x
  3. Step 3: Cross multiply
    603.80x = 833.18 × 355.13
  4. Step 4: Simplify right side
    603.80x = 295,881.27
  5. Step 5: Solve for x
    x = 295,881.27/603.80
  6. Step 6: Final answer
    x = 490.04

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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.