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Finding the Fourth Proportional to 512.96, 765.71 and 474.89

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Solution

The fourth proportional to 512.96, 765.71 and 474.89 is: 708.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.96 : 765.71 = 474.89 : x
  2. Step 2: Convert to fraction form
    512.96/765.71 = 474.89/x
  3. Step 3: Cross multiply
    512.96x = 765.71 × 474.89
  4. Step 4: Simplify right side
    512.96x = 363,621.82
  5. Step 5: Solve for x
    x = 363,621.82/512.96
  6. Step 6: Final answer
    x = 708.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.