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Finding the Fourth Proportional to 662.94, 914.52 and 426.84

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Solution

The fourth proportional to 662.94, 914.52 and 426.84 is: 588.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.94 : 914.52 = 426.84 : x
  2. Step 2: Convert to fraction form
    662.94/914.52 = 426.84/x
  3. Step 3: Cross multiply
    662.94x = 914.52 × 426.84
  4. Step 4: Simplify right side
    662.94x = 390,353.72
  5. Step 5: Solve for x
    x = 390,353.72/662.94
  6. Step 6: Final answer
    x = 588.82

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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.