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Finding the Fourth Proportional to 603.57, 832.83 and 354.87

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Solution

The fourth proportional to 603.57, 832.83 and 354.87 is: 489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.57 : 832.83 = 354.87 : x
  2. Step 2: Convert to fraction form
    603.57/832.83 = 354.87/x
  3. Step 3: Cross multiply
    603.57x = 832.83 × 354.87
  4. Step 4: Simplify right side
    603.57x = 295,546.38
  5. Step 5: Solve for x
    x = 295,546.38/603.57
  6. Step 6: Final answer
    x = 489.66

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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.