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Finding the Fourth Proportional to 541.94, 748.01 and 332.28

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Solution

The fourth proportional to 541.94, 748.01 and 332.28 is: 458.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.94 : 748.01 = 332.28 : x
  2. Step 2: Convert to fraction form
    541.94/748.01 = 332.28/x
  3. Step 3: Cross multiply
    541.94x = 748.01 × 332.28
  4. Step 4: Simplify right side
    541.94x = 248,548.76
  5. Step 5: Solve for x
    x = 248,548.76/541.94
  6. Step 6: Final answer
    x = 458.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.