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Finding the Fourth Proportional to 541.84, 813.16 and 217.02

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Solution

The fourth proportional to 541.84, 813.16 and 217.02 is: 325.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.84 : 813.16 = 217.02 : x
  2. Step 2: Convert to fraction form
    541.84/813.16 = 217.02/x
  3. Step 3: Cross multiply
    541.84x = 813.16 × 217.02
  4. Step 4: Simplify right side
    541.84x = 176,471.98
  5. Step 5: Solve for x
    x = 176,471.98/541.84
  6. Step 6: Final answer
    x = 325.69

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Why These Related Problems?

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