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Finding the Fourth Proportional to 541.06, 811.83 and 284.50

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Solution

The fourth proportional to 541.06, 811.83 and 284.50 is: 426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.06 : 811.83 = 284.50 : x
  2. Step 2: Convert to fraction form
    541.06/811.83 = 284.50/x
  3. Step 3: Cross multiply
    541.06x = 811.83 × 284.50
  4. Step 4: Simplify right side
    541.06x = 230,965.64
  5. Step 5: Solve for x
    x = 230,965.64/541.06
  6. Step 6: Final answer
    x = 426.88

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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.