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Finding the Fourth Proportional to 609.70, 841.86 and 469.60

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Solution

The fourth proportional to 609.70, 841.86 and 469.60 is: 648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.70 : 841.86 = 469.60 : x
  2. Step 2: Convert to fraction form
    609.70/841.86 = 469.60/x
  3. Step 3: Cross multiply
    609.70x = 841.86 × 469.60
  4. Step 4: Simplify right side
    609.70x = 395,337.46
  5. Step 5: Solve for x
    x = 395,337.46/609.70
  6. Step 6: Final answer
    x = 648.41

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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.