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Finding the Fourth Proportional to 542.51, 813.43 and 230.00

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Solution

The fourth proportional to 542.51, 813.43 and 230.00 is: 344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.51 : 813.43 = 230.00 : x
  2. Step 2: Convert to fraction form
    542.51/813.43 = 230.00/x
  3. Step 3: Cross multiply
    542.51x = 813.43 × 230.00
  4. Step 4: Simplify right side
    542.51x = 187,084.26
  5. Step 5: Solve for x
    x = 187,084.26/542.51
  6. Step 6: Final answer
    x = 344.85

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