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Finding the Fourth Proportional to 512.96, 707.77 and 303.15

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Solution

The fourth proportional to 512.96, 707.77 and 303.15 is: 418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.96 : 707.77 = 303.15 : x
  2. Step 2: Convert to fraction form
    512.96/707.77 = 303.15/x
  3. Step 3: Cross multiply
    512.96x = 707.77 × 303.15
  4. Step 4: Simplify right side
    512.96x = 214,560.48
  5. Step 5: Solve for x
    x = 214,560.48/512.96
  6. Step 6: Final answer
    x = 418.28

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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.