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Finding the Fourth Proportional to 423.30, 634.34 and 240.32

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Solution

The fourth proportional to 423.30, 634.34 and 240.32 is: 360.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.30 : 634.34 = 240.32 : x
  2. Step 2: Convert to fraction form
    423.30/634.34 = 240.32/x
  3. Step 3: Cross multiply
    423.30x = 634.34 × 240.32
  4. Step 4: Simplify right side
    423.30x = 152,440.22
  5. Step 5: Solve for x
    x = 152,440.22/423.30
  6. Step 6: Final answer
    x = 360.12

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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.