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Finding the Fourth Proportional to 400.90, 601.08 and 279.40

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Solution

The fourth proportional to 400.90, 601.08 and 279.40 is: 418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.90 : 601.08 = 279.40 : x
  2. Step 2: Convert to fraction form
    400.90/601.08 = 279.40/x
  3. Step 3: Cross multiply
    400.90x = 601.08 × 279.40
  4. Step 4: Simplify right side
    400.90x = 167,941.75
  5. Step 5: Solve for x
    x = 167,941.75/400.90
  6. Step 6: Final answer
    x = 418.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.