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Finding the Fourth Proportional to 389.60, 537 and 278.90

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Solution

The fourth proportional to 389.60, 537 and 278.90 is: 384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.60 : 537 = 278.90 : x
  2. Step 2: Convert to fraction form
    389.60/537 = 278.90/x
  3. Step 3: Cross multiply
    389.60x = 537 × 278.90
  4. Step 4: Simplify right side
    389.60x = 149,769.30
  5. Step 5: Solve for x
    x = 149,769.30/389.60
  6. Step 6: Final answer
    x = 384.42

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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.