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Finding the Fourth Proportional to 389.84, 536.49 and 363.11

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Solution

The fourth proportional to 389.84, 536.49 and 363.11 is: 499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.84 : 536.49 = 363.11 : x
  2. Step 2: Convert to fraction form
    389.84/536.49 = 363.11/x
  3. Step 3: Cross multiply
    389.84x = 536.49 × 363.11
  4. Step 4: Simplify right side
    389.84x = 194,802.20
  5. Step 5: Solve for x
    x = 194,802.20/389.84
  6. Step 6: Final answer
    x = 499.70

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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.