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Finding the Fourth Proportional to 542.75, 812.39 and 433.62

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Solution

The fourth proportional to 542.75, 812.39 and 433.62 is: 649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.75 : 812.39 = 433.62 : x
  2. Step 2: Convert to fraction form
    542.75/812.39 = 433.62/x
  3. Step 3: Cross multiply
    542.75x = 812.39 × 433.62
  4. Step 4: Simplify right side
    542.75x = 352,266.38
  5. Step 5: Solve for x
    x = 352,266.38/542.75
  6. Step 6: Final answer
    x = 649.05

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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.