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Finding the Fourth Proportional to 500.22, 690.32 and 279.16

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Solution

The fourth proportional to 500.22, 690.32 and 279.16 is: 385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.22 : 690.32 = 279.16 : x
  2. Step 2: Convert to fraction form
    500.22/690.32 = 279.16/x
  3. Step 3: Cross multiply
    500.22x = 690.32 × 279.16
  4. Step 4: Simplify right side
    500.22x = 192,704.88
  5. Step 5: Solve for x
    x = 192,704.88/500.22
  6. Step 6: Final answer
    x = 385.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.