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Finding the Fourth Proportional to 675.14, 931.59 and 426.60

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Solution

The fourth proportional to 675.14, 931.59 and 426.60 is: 588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.14 : 931.59 = 426.60 : x
  2. Step 2: Convert to fraction form
    675.14/931.59 = 426.60/x
  3. Step 3: Cross multiply
    675.14x = 931.59 × 426.60
  4. Step 4: Simplify right side
    675.14x = 397,416.29
  5. Step 5: Solve for x
    x = 397,416.29/675.14
  6. Step 6: Final answer
    x = 588.64

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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.