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Finding the Fourth Proportional to 426.99, 589.25 and 412.28

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Solution

The fourth proportional to 426.99, 589.25 and 412.28 is: 568.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.99 : 589.25 = 412.28 : x
  2. Step 2: Convert to fraction form
    426.99/589.25 = 412.28/x
  3. Step 3: Cross multiply
    426.99x = 589.25 × 412.28
  4. Step 4: Simplify right side
    426.99x = 242,935.99
  5. Step 5: Solve for x
    x = 242,935.99/426.99
  6. Step 6: Final answer
    x = 568.95

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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.