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Finding the Fourth Proportional to 541.08, 746.97 and 409.86

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Solution

The fourth proportional to 541.08, 746.97 and 409.86 is: 565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.08 : 746.97 = 409.86 : x
  2. Step 2: Convert to fraction form
    541.08/746.97 = 409.86/x
  3. Step 3: Cross multiply
    541.08x = 746.97 × 409.86
  4. Step 4: Simplify right side
    541.08x = 306,153.89
  5. Step 5: Solve for x
    x = 306,153.89/541.08
  6. Step 6: Final answer
    x = 565.82

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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.