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Finding the Fourth Proportional to 541.62, 812.46 and 176.43

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Solution

The fourth proportional to 541.62, 812.46 and 176.43 is: 264.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.62 : 812.46 = 176.43 : x
  2. Step 2: Convert to fraction form
    541.62/812.46 = 176.43/x
  3. Step 3: Cross multiply
    541.62x = 812.46 × 176.43
  4. Step 4: Simplify right side
    541.62x = 143,342.32
  5. Step 5: Solve for x
    x = 143,342.32/541.62
  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.