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Finding the Fourth Proportional to 541.66, 746.62 and 423.43

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Solution

The fourth proportional to 541.66, 746.62 and 423.43 is: 583.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.66 : 746.62 = 423.43 : x
  2. Step 2: Convert to fraction form
    541.66/746.62 = 423.43/x
  3. Step 3: Cross multiply
    541.66x = 746.62 × 423.43
  4. Step 4: Simplify right side
    541.66x = 316,141.31
  5. Step 5: Solve for x
    x = 316,141.31/541.66
  6. Step 6: Final answer
    x = 583.65

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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.