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Finding the Fourth Proportional to 279.40, 419.10 and 275.35

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Solution

The fourth proportional to 279.40, 419.10 and 275.35 is: 413.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.40 : 419.10 = 275.35 : x
  2. Step 2: Convert to fraction form
    279.40/419.10 = 275.35/x
  3. Step 3: Cross multiply
    279.40x = 419.10 × 275.35
  4. Step 4: Simplify right side
    279.40x = 115,399.19
  5. Step 5: Solve for x
    x = 115,399.19/279.40
  6. Step 6: Final answer
    x = 413.03

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Why These Related Problems?

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