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Finding the Fourth Proportional to 517.41, 714.49 and 386.19

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Solution

The fourth proportional to 517.41, 714.49 and 386.19 is: 533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.41 : 714.49 = 386.19 : x
  2. Step 2: Convert to fraction form
    517.41/714.49 = 386.19/x
  3. Step 3: Cross multiply
    517.41x = 714.49 × 386.19
  4. Step 4: Simplify right side
    517.41x = 275,927.93
  5. Step 5: Solve for x
    x = 275,927.93/517.41
  6. Step 6: Final answer
    x = 533.29

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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.