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Finding the Fourth Proportional to 633.37, 945.85 and 546.91

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Solution

The fourth proportional to 633.37, 945.85 and 546.91 is: 816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.37 : 945.85 = 546.91 : x
  2. Step 2: Convert to fraction form
    633.37/945.85 = 546.91/x
  3. Step 3: Cross multiply
    633.37x = 945.85 × 546.91
  4. Step 4: Simplify right side
    633.37x = 517,294.82
  5. Step 5: Solve for x
    x = 517,294.82/633.37
  6. Step 6: Final answer
    x = 816.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.