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Finding the Fourth Proportional to 576.80, 864.08 and 446.36

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Solution

The fourth proportional to 576.80, 864.08 and 446.36 is: 668.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.80 : 864.08 = 446.36 : x
  2. Step 2: Convert to fraction form
    576.80/864.08 = 446.36/x
  3. Step 3: Cross multiply
    576.80x = 864.08 × 446.36
  4. Step 4: Simplify right side
    576.80x = 385,690.75
  5. Step 5: Solve for x
    x = 385,690.75/576.80
  6. Step 6: Final answer
    x = 668.67

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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.