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Finding the Fourth Proportional to 426.94, 590.23 and 423.05

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Solution

The fourth proportional to 426.94, 590.23 and 423.05 is: 584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.94 : 590.23 = 423.05 : x
  2. Step 2: Convert to fraction form
    426.94/590.23 = 423.05/x
  3. Step 3: Cross multiply
    426.94x = 590.23 × 423.05
  4. Step 4: Simplify right side
    426.94x = 249,696.80
  5. Step 5: Solve for x
    x = 249,696.80/426.94
  6. Step 6: Final answer
    x = 584.85

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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.