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Finding the Fourth Proportional to 541.52, 746.89 and 466.96

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Solution

The fourth proportional to 541.52, 746.89 and 466.96 is: 644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.52 : 746.89 = 466.96 : x
  2. Step 2: Convert to fraction form
    541.52/746.89 = 466.96/x
  3. Step 3: Cross multiply
    541.52x = 746.89 × 466.96
  4. Step 4: Simplify right side
    541.52x = 348,767.52
  5. Step 5: Solve for x
    x = 348,767.52/541.52
  6. Step 6: Final answer
    x = 644.05

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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.