Home / 537.24-742.14-517.26

Finding the Fourth Proportional to 537.24, 742.14 and 517.26

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Solution

The fourth proportional to 537.24, 742.14 and 517.26 is: 714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.24 : 742.14 = 517.26 : x
  2. Step 2: Convert to fraction form
    537.24/742.14 = 517.26/x
  3. Step 3: Cross multiply
    537.24x = 742.14 × 517.26
  4. Step 4: Simplify right side
    537.24x = 383,879.34
  5. Step 5: Solve for x
    x = 383,879.34/537.24
  6. Step 6: Final answer
    x = 714.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.