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Finding the Fourth Proportional to 500.63, 690.71 and 290.79

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Solution

The fourth proportional to 500.63, 690.71 and 290.79 is: 401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.63 : 690.71 = 290.79 : x
  2. Step 2: Convert to fraction form
    500.63/690.71 = 290.79/x
  3. Step 3: Cross multiply
    500.63x = 690.71 × 290.79
  4. Step 4: Simplify right side
    500.63x = 200,850.11
  5. Step 5: Solve for x
    x = 200,850.11/500.63
  6. Step 6: Final answer
    x = 401.20

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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.