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Finding the Fourth Proportional to 458.20, 688.10 and 443.80

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Solution

The fourth proportional to 458.20, 688.10 and 443.80 is: 666.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.20 : 688.10 = 443.80 : x
  2. Step 2: Convert to fraction form
    458.20/688.10 = 443.80/x
  3. Step 3: Cross multiply
    458.20x = 688.10 × 443.80
  4. Step 4: Simplify right side
    458.20x = 305,378.78
  5. Step 5: Solve for x
    x = 305,378.78/458.20
  6. Step 6: Final answer
    x = 666.47

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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.