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Finding the Fourth Proportional to 426.53, 588.68 and 356.49

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Solution

The fourth proportional to 426.53, 588.68 and 356.49 is: 492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.53 : 588.68 = 356.49 : x
  2. Step 2: Convert to fraction form
    426.53/588.68 = 356.49/x
  3. Step 3: Cross multiply
    426.53x = 588.68 × 356.49
  4. Step 4: Simplify right side
    426.53x = 209,858.53
  5. Step 5: Solve for x
    x = 209,858.53/426.53
  6. Step 6: Final answer
    x = 492.01

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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.