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Finding the Fourth Proportional to 500.31, 690.46 and 279.26

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Solution

The fourth proportional to 500.31, 690.46 and 279.26 is: 385.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.31 : 690.46 = 279.26 : x
  2. Step 2: Convert to fraction form
    500.31/690.46 = 279.26/x
  3. Step 3: Cross multiply
    500.31x = 690.46 × 279.26
  4. Step 4: Simplify right side
    500.31x = 192,817.86
  5. Step 5: Solve for x
    x = 192,817.86/500.31
  6. Step 6: Final answer
    x = 385.40

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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.