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Finding the Fourth Proportional to 541.06, 746.76 and 409.84

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Solution

The fourth proportional to 541.06, 746.76 and 409.84 is: 565.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.06 : 746.76 = 409.84 : x
  2. Step 2: Convert to fraction form
    541.06/746.76 = 409.84/x
  3. Step 3: Cross multiply
    541.06x = 746.76 × 409.84
  4. Step 4: Simplify right side
    541.06x = 306,052.12
  5. Step 5: Solve for x
    x = 306,052.12/541.06
  6. Step 6: Final answer
    x = 565.65

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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.