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Finding the Fourth Proportional to 573.43, 859.39 and 260.85

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Solution

The fourth proportional to 573.43, 859.39 and 260.85 is: 390.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.43 : 859.39 = 260.85 : x
  2. Step 2: Convert to fraction form
    573.43/859.39 = 260.85/x
  3. Step 3: Cross multiply
    573.43x = 859.39 × 260.85
  4. Step 4: Simplify right side
    573.43x = 224,171.88
  5. Step 5: Solve for x
    x = 224,171.88/573.43
  6. Step 6: Final answer
    x = 390.93

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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.