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Finding the Fourth Proportional to 541.32, 746.33 and 415.43

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Solution

The fourth proportional to 541.32, 746.33 and 415.43 is: 572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.32 : 746.33 = 415.43 : x
  2. Step 2: Convert to fraction form
    541.32/746.33 = 415.43/x
  3. Step 3: Cross multiply
    541.32x = 746.33 × 415.43
  4. Step 4: Simplify right side
    541.32x = 310,047.87
  5. Step 5: Solve for x
    x = 310,047.87/541.32
  6. Step 6: Final answer
    x = 572.76

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