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Finding the Fourth Proportional to 512.50, 710.49 and 484.78

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Solution

The fourth proportional to 512.50, 710.49 and 484.78 is: 672.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.50 : 710.49 = 484.78 : x
  2. Step 2: Convert to fraction form
    512.50/710.49 = 484.78/x
  3. Step 3: Cross multiply
    512.50x = 710.49 × 484.78
  4. Step 4: Simplify right side
    512.50x = 344,431.34
  5. Step 5: Solve for x
    x = 344,431.34/512.50
  6. Step 6: Final answer
    x = 672.06

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.