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Finding the Fourth Proportional to 541.76, 746.96 and 471.83

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Solution

The fourth proportional to 541.76, 746.96 and 471.83 is: 650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.76 : 746.96 = 471.83 : x
  2. Step 2: Convert to fraction form
    541.76/746.96 = 471.83/x
  3. Step 3: Cross multiply
    541.76x = 746.96 × 471.83
  4. Step 4: Simplify right side
    541.76x = 352,432.04
  5. Step 5: Solve for x
    x = 352,432.04/541.76
  6. Step 6: Final answer
    x = 650.54

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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.