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Finding the Fourth Proportional to 611.66, 917.85 and 287.03

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Solution

The fourth proportional to 611.66, 917.85 and 287.03 is: 430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.66 : 917.85 = 287.03 : x
  2. Step 2: Convert to fraction form
    611.66/917.85 = 287.03/x
  3. Step 3: Cross multiply
    611.66x = 917.85 × 287.03
  4. Step 4: Simplify right side
    611.66x = 263,450.49
  5. Step 5: Solve for x
    x = 263,450.49/611.66
  6. Step 6: Final answer
    x = 430.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.