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Finding the Fourth Proportional to 578.99, 799.00 and 313.43

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Solution

The fourth proportional to 578.99, 799.00 and 313.43 is: 432.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.99 : 799.00 = 313.43 : x
  2. Step 2: Convert to fraction form
    578.99/799.00 = 313.43/x
  3. Step 3: Cross multiply
    578.99x = 799.00 × 313.43
  4. Step 4: Simplify right side
    578.99x = 250,428.79
  5. Step 5: Solve for x
    x = 250,428.79/578.99
  6. Step 6: Final answer
    x = 432.53

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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.