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Finding the Fourth Proportional to 542.03, 812.61 and 217.22

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Solution

The fourth proportional to 542.03, 812.61 and 217.22 is: 325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.03 : 812.61 = 217.22 : x
  2. Step 2: Convert to fraction form
    542.03/812.61 = 217.22/x
  3. Step 3: Cross multiply
    542.03x = 812.61 × 217.22
  4. Step 4: Simplify right side
    542.03x = 176,511.08
  5. Step 5: Solve for x
    x = 176,511.08/542.03
  6. Step 6: Final answer
    x = 325.65

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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.