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Finding the Fourth Proportional to 542.02, 813 and 200.02

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Solution

The fourth proportional to 542.02, 813 and 200.02 is: 300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.02 : 813 = 200.02 : x
  2. Step 2: Convert to fraction form
    542.02/813 = 200.02/x
  3. Step 3: Cross multiply
    542.02x = 813 × 200.02
  4. Step 4: Simplify right side
    542.02x = 162,616.26
  5. Step 5: Solve for x
    x = 162,616.26/542.02
  6. Step 6: Final answer
    x = 300.02

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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.