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Finding the Fourth Proportional to 577.30, 796.78 and 542.12

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Solution

The fourth proportional to 577.30, 796.78 and 542.12 is: 748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.30 : 796.78 = 542.12 : x
  2. Step 2: Convert to fraction form
    577.30/796.78 = 542.12/x
  3. Step 3: Cross multiply
    577.30x = 796.78 × 542.12
  4. Step 4: Simplify right side
    577.30x = 431,950.37
  5. Step 5: Solve for x
    x = 431,950.37/577.30
  6. Step 6: Final answer
    x = 748.23

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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.