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Finding the Fourth Proportional to 389.50, 538.18 and 278.76

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Solution

The fourth proportional to 389.50, 538.18 and 278.76 is: 385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.50 : 538.18 = 278.76 : x
  2. Step 2: Convert to fraction form
    389.50/538.18 = 278.76/x
  3. Step 3: Cross multiply
    389.50x = 538.18 × 278.76
  4. Step 4: Simplify right side
    389.50x = 150,023.06
  5. Step 5: Solve for x
    x = 150,023.06/389.50
  6. Step 6: Final answer
    x = 385.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.