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Finding the Fourth Proportional to 542.80, 749.01 and 309.92

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Solution

The fourth proportional to 542.80, 749.01 and 309.92 is: 427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.80 : 749.01 = 309.92 : x
  2. Step 2: Convert to fraction form
    542.80/749.01 = 309.92/x
  3. Step 3: Cross multiply
    542.80x = 749.01 × 309.92
  4. Step 4: Simplify right side
    542.80x = 232,133.18
  5. Step 5: Solve for x
    x = 232,133.18/542.80
  6. Step 6: Final answer
    x = 427.66

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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.