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Finding the Fourth Proportional to 508.64, 762.32 and 443.40

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Solution

The fourth proportional to 508.64, 762.32 and 443.40 is: 664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.64 : 762.32 = 443.40 : x
  2. Step 2: Convert to fraction form
    508.64/762.32 = 443.40/x
  3. Step 3: Cross multiply
    508.64x = 762.32 × 443.40
  4. Step 4: Simplify right side
    508.64x = 338,012.69
  5. Step 5: Solve for x
    x = 338,012.69/508.64
  6. Step 6: Final answer
    x = 664.54

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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.