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Finding the Fourth Proportional to 574.42, 860.26 and 314.03

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Solution

The fourth proportional to 574.42, 860.26 and 314.03 is: 470.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.42 : 860.26 = 314.03 : x
  2. Step 2: Convert to fraction form
    574.42/860.26 = 314.03/x
  3. Step 3: Cross multiply
    574.42x = 860.26 × 314.03
  4. Step 4: Simplify right side
    574.42x = 270,141.58
  5. Step 5: Solve for x
    x = 270,141.58/574.42
  6. Step 6: Final answer
    x = 470.29

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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.