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Finding the Fourth Proportional to 389.06, 536.49 and 349.88

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Solution

The fourth proportional to 389.06, 536.49 and 349.88 is: 482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.06 : 536.49 = 349.88 : x
  2. Step 2: Convert to fraction form
    389.06/536.49 = 349.88/x
  3. Step 3: Cross multiply
    389.06x = 536.49 × 349.88
  4. Step 4: Simplify right side
    389.06x = 187,707.12
  5. Step 5: Solve for x
    x = 187,707.12/389.06
  6. Step 6: Final answer
    x = 482.46

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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.