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Finding the Fourth Proportional to 559.05, 839.00 and 382.93

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Solution

The fourth proportional to 559.05, 839.00 and 382.93 is: 574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.05 : 839.00 = 382.93 : x
  2. Step 2: Convert to fraction form
    559.05/839.00 = 382.93/x
  3. Step 3: Cross multiply
    559.05x = 839.00 × 382.93
  4. Step 4: Simplify right side
    559.05x = 321,277.31
  5. Step 5: Solve for x
    x = 321,277.31/559.05
  6. Step 6: Final answer
    x = 574.68

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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.