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Finding the Fourth Proportional to 918.88, 1,379.40 and 406.24

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Solution

The fourth proportional to 918.88, 1,379.40 and 406.24 is: 609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.88 : 1,379.40 = 406.24 : x
  2. Step 2: Convert to fraction form
    918.88/1,379.40 = 406.24/x
  3. Step 3: Cross multiply
    918.88x = 1,379.40 × 406.24
  4. Step 4: Simplify right side
    918.88x = 560,367.46
  5. Step 5: Solve for x
    x = 560,367.46/918.88
  6. Step 6: Final answer
    x = 609.84

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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.