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Finding the Fourth Proportional to 541.92, 813.33 and 234.00

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Solution

The fourth proportional to 541.92, 813.33 and 234.00 is: 351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.92 : 813.33 = 234.00 : x
  2. Step 2: Convert to fraction form
    541.92/813.33 = 234.00/x
  3. Step 3: Cross multiply
    541.92x = 813.33 × 234.00
  4. Step 4: Simplify right side
    541.92x = 190,323.15
  5. Step 5: Solve for x
    x = 190,323.15/541.92
  6. Step 6: Final answer
    x = 351.20

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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.