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Finding the Fourth Proportional to 574.80, 861.08 and 444.36

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Solution

The fourth proportional to 574.80, 861.08 and 444.36 is: 665.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.80 : 861.08 = 444.36 : x
  2. Step 2: Convert to fraction form
    574.80/861.08 = 444.36/x
  3. Step 3: Cross multiply
    574.80x = 861.08 × 444.36
  4. Step 4: Simplify right side
    574.80x = 382,629.51
  5. Step 5: Solve for x
    x = 382,629.51/574.80
  6. Step 6: Final answer
    x = 665.67

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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.