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Finding the Fourth Proportional to 674.84, 931.53 and 426.32

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Solution

The fourth proportional to 674.84, 931.53 and 426.32 is: 588.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.84 : 931.53 = 426.32 : x
  2. Step 2: Convert to fraction form
    674.84/931.53 = 426.32/x
  3. Step 3: Cross multiply
    674.84x = 931.53 × 426.32
  4. Step 4: Simplify right side
    674.84x = 397,129.87
  5. Step 5: Solve for x
    x = 397,129.87/674.84
  6. Step 6: Final answer
    x = 588.48

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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.