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Finding the Fourth Proportional to 536.90, 741.17 and 363.15

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Solution

The fourth proportional to 536.90, 741.17 and 363.15 is: 501.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.90 : 741.17 = 363.15 : x
  2. Step 2: Convert to fraction form
    536.90/741.17 = 363.15/x
  3. Step 3: Cross multiply
    536.90x = 741.17 × 363.15
  4. Step 4: Simplify right side
    536.90x = 269,156.79
  5. Step 5: Solve for x
    x = 269,156.79/536.90
  6. Step 6: Final answer
    x = 501.32

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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.