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Finding the Fourth Proportional to 512.72, 707.60 and 316.24

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Solution

The fourth proportional to 512.72, 707.60 and 316.24 is: 436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.72 : 707.60 = 316.24 : x
  2. Step 2: Convert to fraction form
    512.72/707.60 = 316.24/x
  3. Step 3: Cross multiply
    512.72x = 707.60 × 316.24
  4. Step 4: Simplify right side
    512.72x = 223,771.42
  5. Step 5: Solve for x
    x = 223,771.42/512.72
  6. Step 6: Final answer
    x = 436.44

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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.