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Finding the Fourth Proportional to 603.66, 833.06 and 354.92

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Solution

The fourth proportional to 603.66, 833.06 and 354.92 is: 489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.66 : 833.06 = 354.92 : x
  2. Step 2: Convert to fraction form
    603.66/833.06 = 354.92/x
  3. Step 3: Cross multiply
    603.66x = 833.06 × 354.92
  4. Step 4: Simplify right side
    603.66x = 295,669.66
  5. Step 5: Solve for x
    x = 295,669.66/603.66
  6. Step 6: Final answer
    x = 489.80

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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.