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Finding the Fourth Proportional to 541.03, 811.54 and 233.10

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Solution

The fourth proportional to 541.03, 811.54 and 233.10 is: 349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.03 : 811.54 = 233.10 : x
  2. Step 2: Convert to fraction form
    541.03/811.54 = 233.10/x
  3. Step 3: Cross multiply
    541.03x = 811.54 × 233.10
  4. Step 4: Simplify right side
    541.03x = 189,169.97
  5. Step 5: Solve for x
    x = 189,169.97/541.03
  6. Step 6: Final answer
    x = 349.65

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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.