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Finding the Fourth Proportional to 609.63, 842.00 and 462.00

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Solution

The fourth proportional to 609.63, 842.00 and 462.00 is: 638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.63 : 842.00 = 462.00 : x
  2. Step 2: Convert to fraction form
    609.63/842.00 = 462.00/x
  3. Step 3: Cross multiply
    609.63x = 842.00 × 462.00
  4. Step 4: Simplify right side
    609.63x = 389,004.85
  5. Step 5: Solve for x
    x = 389,004.85/609.63
  6. Step 6: Final answer
    x = 638.10

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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.