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Finding the Fourth Proportional to 542.99, 749.43 and 310.12

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Solution

The fourth proportional to 542.99, 749.43 and 310.12 is: 428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.99 : 749.43 = 310.12 : x
  2. Step 2: Convert to fraction form
    542.99/749.43 = 310.12/x
  3. Step 3: Cross multiply
    542.99x = 749.43 × 310.12
  4. Step 4: Simplify right side
    542.99x = 232,411.36
  5. Step 5: Solve for x
    x = 232,411.36/542.99
  6. Step 6: Final answer
    x = 428.02

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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.