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Finding the Fourth Proportional to 423.24, 584.70 and 340.26

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Solution

The fourth proportional to 423.24, 584.70 and 340.26 is: 470.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.24 : 584.70 = 340.26 : x
  2. Step 2: Convert to fraction form
    423.24/584.70 = 340.26/x
  3. Step 3: Cross multiply
    423.24x = 584.70 × 340.26
  4. Step 4: Simplify right side
    423.24x = 198,950.02
  5. Step 5: Solve for x
    x = 198,950.02/423.24
  6. Step 6: Final answer
    x = 470.06

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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.