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Finding the Fourth Proportional to 517.59, 714.26 and 370.47

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Solution

The fourth proportional to 517.59, 714.26 and 370.47 is: 511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.59 : 714.26 = 370.47 : x
  2. Step 2: Convert to fraction form
    517.59/714.26 = 370.47/x
  3. Step 3: Cross multiply
    517.59x = 714.26 × 370.47
  4. Step 4: Simplify right side
    517.59x = 264,610.05
  5. Step 5: Solve for x
    x = 264,610.05/517.59
  6. Step 6: Final answer
    x = 511.23

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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.