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Finding the Fourth Proportional to 542.70, 748.58 and 309.83

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Solution

The fourth proportional to 542.70, 748.58 and 309.83 is: 427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.70 : 748.58 = 309.83 : x
  2. Step 2: Convert to fraction form
    542.70/748.58 = 309.83/x
  3. Step 3: Cross multiply
    542.70x = 748.58 × 309.83
  4. Step 4: Simplify right side
    542.70x = 231,927.25
  5. Step 5: Solve for x
    x = 231,927.25/542.70
  6. Step 6: Final answer
    x = 427.36

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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.