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Finding the Fourth Proportional to 603.24, 824.82 and 580.56

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Solution

The fourth proportional to 603.24, 824.82 and 580.56 is: 793.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.24 : 824.82 = 580.56 : x
  2. Step 2: Convert to fraction form
    603.24/824.82 = 580.56/x
  3. Step 3: Cross multiply
    603.24x = 824.82 × 580.56
  4. Step 4: Simplify right side
    603.24x = 478,857.50
  5. Step 5: Solve for x
    x = 478,857.50/603.24
  6. Step 6: Final answer
    x = 793.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.