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Finding the Fourth Proportional to 389.45, 536.33 and 358.67

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Solution

The fourth proportional to 389.45, 536.33 and 358.67 is: 493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.45 : 536.33 = 358.67 : x
  2. Step 2: Convert to fraction form
    389.45/536.33 = 358.67/x
  3. Step 3: Cross multiply
    389.45x = 536.33 × 358.67
  4. Step 4: Simplify right side
    389.45x = 192,361.01
  5. Step 5: Solve for x
    x = 192,361.01/389.45
  6. Step 6: Final answer
    x = 493.94

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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.