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Finding the Fourth Proportional to 542.14, 813.19 and 310.45

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Solution

The fourth proportional to 542.14, 813.19 and 310.45 is: 465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.14 : 813.19 = 310.45 : x
  2. Step 2: Convert to fraction form
    542.14/813.19 = 310.45/x
  3. Step 3: Cross multiply
    542.14x = 813.19 × 310.45
  4. Step 4: Simplify right side
    542.14x = 252,454.84
  5. Step 5: Solve for x
    x = 252,454.84/542.14
  6. Step 6: Final answer
    x = 465.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.