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Finding the Fourth Proportional to 541.72, 812.77 and 176.51

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Solution

The fourth proportional to 541.72, 812.77 and 176.51 is: 264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.72 : 812.77 = 176.51 : x
  2. Step 2: Convert to fraction form
    541.72/812.77 = 176.51/x
  3. Step 3: Cross multiply
    541.72x = 812.77 × 176.51
  4. Step 4: Simplify right side
    541.72x = 143,457.97
  5. Step 5: Solve for x
    x = 143,457.97/541.72
  6. Step 6: Final answer
    x = 264.82

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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.