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Finding the Fourth Proportional to 500.19, 690.27 and 279.15

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Solution

The fourth proportional to 500.19, 690.27 and 279.15 is: 385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.19 : 690.27 = 279.15 : x
  2. Step 2: Convert to fraction form
    500.19/690.27 = 279.15/x
  3. Step 3: Cross multiply
    500.19x = 690.27 × 279.15
  4. Step 4: Simplify right side
    500.19x = 192,688.87
  5. Step 5: Solve for x
    x = 192,688.87/500.19
  6. Step 6: Final answer
    x = 385.23

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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.