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Finding the Fourth Proportional to 541.42, 812 and 176.28

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Solution

The fourth proportional to 541.42, 812 and 176.28 is: 264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.42 : 812 = 176.28 : x
  2. Step 2: Convert to fraction form
    541.42/812 = 176.28/x
  3. Step 3: Cross multiply
    541.42x = 812 × 176.28
  4. Step 4: Simplify right side
    541.42x = 143,139.36
  5. Step 5: Solve for x
    x = 143,139.36/541.42
  6. Step 6: Final answer
    x = 264.38

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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.