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Finding the Fourth Proportional to 279.80, 419.70 and 279.80

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Solution

The fourth proportional to 279.80, 419.70 and 279.80 is: 419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.80 : 419.70 = 279.80 : x
  2. Step 2: Convert to fraction form
    279.80/419.70 = 279.80/x
  3. Step 3: Cross multiply
    279.80x = 419.70 × 279.80
  4. Step 4: Simplify right side
    279.80x = 117,432.06
  5. Step 5: Solve for x
    x = 117,432.06/279.80
  6. Step 6: Final answer
    x = 419.70

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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.