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Finding the Fourth Proportional to 542.94, 749.34 and 310.11

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Solution

The fourth proportional to 542.94, 749.34 and 310.11 is: 428.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.94 : 749.34 = 310.11 : x
  2. Step 2: Convert to fraction form
    542.94/749.34 = 310.11/x
  3. Step 3: Cross multiply
    542.94x = 749.34 × 310.11
  4. Step 4: Simplify right side
    542.94x = 232,377.83
  5. Step 5: Solve for x
    x = 232,377.83/542.94
  6. Step 6: Final answer
    x = 428.00

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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.