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Finding the Fourth Proportional to 574.91, 860.98 and 476.68

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Solution

The fourth proportional to 574.91, 860.98 and 476.68 is: 713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.91 : 860.98 = 476.68 : x
  2. Step 2: Convert to fraction form
    574.91/860.98 = 476.68/x
  3. Step 3: Cross multiply
    574.91x = 860.98 × 476.68
  4. Step 4: Simplify right side
    574.91x = 410,408.60
  5. Step 5: Solve for x
    x = 410,408.60/574.91
  6. Step 6: Final answer
    x = 713.87

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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.