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Finding the Fourth Proportional to 427.15, 640.32 and 210.61

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Solution

The fourth proportional to 427.15, 640.32 and 210.61 is: 315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.15 : 640.32 = 210.61 : x
  2. Step 2: Convert to fraction form
    427.15/640.32 = 210.61/x
  3. Step 3: Cross multiply
    427.15x = 640.32 × 210.61
  4. Step 4: Simplify right side
    427.15x = 134,857.80
  5. Step 5: Solve for x
    x = 134,857.80/427.15
  6. Step 6: Final answer
    x = 315.72

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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.