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Finding the Fourth Proportional to 512.64, 707.74 and 338.29

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Solution

The fourth proportional to 512.64, 707.74 and 338.29 is: 467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.64 : 707.74 = 338.29 : x
  2. Step 2: Convert to fraction form
    512.64/707.74 = 338.29/x
  3. Step 3: Cross multiply
    512.64x = 707.74 × 338.29
  4. Step 4: Simplify right side
    512.64x = 239,421.36
  5. Step 5: Solve for x
    x = 239,421.36/512.64
  6. Step 6: Final answer
    x = 467.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.