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Finding the Fourth Proportional to 609.12, 840.24 and 546.48

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Solution

The fourth proportional to 609.12, 840.24 and 546.48 is: 753.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.12 : 840.24 = 546.48 : x
  2. Step 2: Convert to fraction form
    609.12/840.24 = 546.48/x
  3. Step 3: Cross multiply
    609.12x = 840.24 × 546.48
  4. Step 4: Simplify right side
    609.12x = 459,174.36
  5. Step 5: Solve for x
    x = 459,174.36/609.12
  6. Step 6: Final answer
    x = 753.83

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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.