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Finding the Fourth Proportional to 541.12, 811.56 and 175.84

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Solution

The fourth proportional to 541.12, 811.56 and 175.84 is: 263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.12 : 811.56 = 175.84 : x
  2. Step 2: Convert to fraction form
    541.12/811.56 = 175.84/x
  3. Step 3: Cross multiply
    541.12x = 811.56 × 175.84
  4. Step 4: Simplify right side
    541.12x = 142,704.71
  5. Step 5: Solve for x
    x = 142,704.71/541.12
  6. Step 6: Final answer
    x = 263.72

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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.