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Finding the Fourth Proportional to 537.86, 742.07 and 363.24

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Solution

The fourth proportional to 537.86, 742.07 and 363.24 is: 501.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.86 : 742.07 = 363.24 : x
  2. Step 2: Convert to fraction form
    537.86/742.07 = 363.24/x
  3. Step 3: Cross multiply
    537.86x = 742.07 × 363.24
  4. Step 4: Simplify right side
    537.86x = 269,547.69
  5. Step 5: Solve for x
    x = 269,547.69/537.86
  6. Step 6: Final answer
    x = 501.15

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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.