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Finding the Fourth Proportional to 611.84, 917.34 and 406.31

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Solution

The fourth proportional to 611.84, 917.34 and 406.31 is: 609.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.84 : 917.34 = 406.31 : x
  2. Step 2: Convert to fraction form
    611.84/917.34 = 406.31/x
  3. Step 3: Cross multiply
    611.84x = 917.34 × 406.31
  4. Step 4: Simplify right side
    611.84x = 372,719.83
  5. Step 5: Solve for x
    x = 372,719.83/611.84
  6. Step 6: Final answer
    x = 609.18

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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.