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Finding the Fourth Proportional to 542.84, 749.21 and 309.96

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Solution

The fourth proportional to 542.84, 749.21 and 309.96 is: 427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.84 : 749.21 = 309.96 : x
  2. Step 2: Convert to fraction form
    542.84/749.21 = 309.96/x
  3. Step 3: Cross multiply
    542.84x = 749.21 × 309.96
  4. Step 4: Simplify right side
    542.84x = 232,223.58
  5. Step 5: Solve for x
    x = 232,223.58/542.84
  6. Step 6: Final answer
    x = 427.80

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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.