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Finding the Fourth Proportional to 542.02, 748.05 and 306.01

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Solution

The fourth proportional to 542.02, 748.05 and 306.01 is: 422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.02 : 748.05 = 306.01 : x
  2. Step 2: Convert to fraction form
    542.02/748.05 = 306.01/x
  3. Step 3: Cross multiply
    542.02x = 748.05 × 306.01
  4. Step 4: Simplify right side
    542.02x = 228,907.04
  5. Step 5: Solve for x
    x = 228,907.04/542.02
  6. Step 6: Final answer
    x = 422.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.