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Finding the Fourth Proportional to 553.92, 829.96 and 337.04

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Solution

The fourth proportional to 553.92, 829.96 and 337.04 is: 505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.92 : 829.96 = 337.04 : x
  2. Step 2: Convert to fraction form
    553.92/829.96 = 337.04/x
  3. Step 3: Cross multiply
    553.92x = 829.96 × 337.04
  4. Step 4: Simplify right side
    553.92x = 279,729.72
  5. Step 5: Solve for x
    x = 279,729.72/553.92
  6. Step 6: Final answer
    x = 505.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.