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Finding the Fourth Proportional to 423.00, 634.13 and 240.13

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Solution

The fourth proportional to 423.00, 634.13 and 240.13 is: 359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.00 : 634.13 = 240.13 : x
  2. Step 2: Convert to fraction form
    423.00/634.13 = 240.13/x
  3. Step 3: Cross multiply
    423.00x = 634.13 × 240.13
  4. Step 4: Simplify right side
    423.00x = 152,272.44
  5. Step 5: Solve for x
    x = 152,272.44/423.00
  6. Step 6: Final answer
    x = 359.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.