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Finding the Fourth Proportional to 541.44, 811.76 and 176

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Solution

The fourth proportional to 541.44, 811.76 and 176 is: 263.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.44 : 811.76 = 176 : x
  2. Step 2: Convert to fraction form
    541.44/811.76 = 176/x
  3. Step 3: Cross multiply
    541.44x = 811.76 × 176
  4. Step 4: Simplify right side
    541.44x = 142,869.76
  5. Step 5: Solve for x
    x = 142,869.76/541.44
  6. Step 6: Final answer
    x = 263.87

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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.