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Finding the Fourth Proportional to 517.70, 710.68 and 512.84

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Solution

The fourth proportional to 517.70, 710.68 and 512.84 is: 704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.70 : 710.68 = 512.84 : x
  2. Step 2: Convert to fraction form
    517.70/710.68 = 512.84/x
  3. Step 3: Cross multiply
    517.70x = 710.68 × 512.84
  4. Step 4: Simplify right side
    517.70x = 364,465.13
  5. Step 5: Solve for x
    x = 364,465.13/517.70
  6. Step 6: Final answer
    x = 704.01

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.