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Finding the Fourth Proportional to 390.90, 539.62 and 278.94

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Solution

The fourth proportional to 390.90, 539.62 and 278.94 is: 385.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.90 : 539.62 = 278.94 : x
  2. Step 2: Convert to fraction form
    390.90/539.62 = 278.94/x
  3. Step 3: Cross multiply
    390.90x = 539.62 × 278.94
  4. Step 4: Simplify right side
    390.90x = 150,521.60
  5. Step 5: Solve for x
    x = 150,521.60/390.90
  6. Step 6: Final answer
    x = 385.06

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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.