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Finding the Fourth Proportional to 426.66, 640.19 and 210.19

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Solution

The fourth proportional to 426.66, 640.19 and 210.19 is: 315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.66 : 640.19 = 210.19 : x
  2. Step 2: Convert to fraction form
    426.66/640.19 = 210.19/x
  3. Step 3: Cross multiply
    426.66x = 640.19 × 210.19
  4. Step 4: Simplify right side
    426.66x = 134,560.46
  5. Step 5: Solve for x
    x = 134,560.46/426.66
  6. Step 6: Final answer
    x = 315.38

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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.