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Finding the Fourth Proportional to 542.36, 813.06 and 285.08

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Solution

The fourth proportional to 542.36, 813.06 and 285.08 is: 427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.36 : 813.06 = 285.08 : x
  2. Step 2: Convert to fraction form
    542.36/813.06 = 285.08/x
  3. Step 3: Cross multiply
    542.36x = 813.06 × 285.08
  4. Step 4: Simplify right side
    542.36x = 231,787.14
  5. Step 5: Solve for x
    x = 231,787.14/542.36
  6. Step 6: Final answer
    x = 427.37

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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.