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Finding the Fourth Proportional to 541.74, 812.58 and 176.44

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Solution

The fourth proportional to 541.74, 812.58 and 176.44 is: 264.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.74 : 812.58 = 176.44 : x
  2. Step 2: Convert to fraction form
    541.74/812.58 = 176.44/x
  3. Step 3: Cross multiply
    541.74x = 812.58 × 176.44
  4. Step 4: Simplify right side
    541.74x = 143,371.62
  5. Step 5: Solve for x
    x = 143,371.62/541.74
  6. Step 6: Final answer
    x = 264.65

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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.