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Finding the Fourth Proportional to 500.50, 690.71 and 279.44

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Solution

The fourth proportional to 500.50, 690.71 and 279.44 is: 385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.50 : 690.71 = 279.44 : x
  2. Step 2: Convert to fraction form
    500.50/690.71 = 279.44/x
  3. Step 3: Cross multiply
    500.50x = 690.71 × 279.44
  4. Step 4: Simplify right side
    500.50x = 193,010.61
  5. Step 5: Solve for x
    x = 193,010.61/500.50
  6. Step 6: Final answer
    x = 385.64

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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.